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Finding the Fourth Proportional to 20,547.60, 30,821.40 and 16,319.40

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Solution

The fourth proportional to 20,547.60, 30,821.40 and 16,319.40 is: 24,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.60 : 30,821.40 = 16,319.40 : x
  2. Step 2: Convert to fraction form
    20,547.60/30,821.40 = 16,319.40/x
  3. Step 3: Cross multiply
    20,547.60x = 30,821.40 × 16,319.40
  4. Step 4: Simplify right side
    20,547.60x = 502,986,755.16
  5. Step 5: Solve for x
    x = 502,986,755.16/20,547.60
  6. Step 6: Final answer
    x = 24,479.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.