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Finding the Fourth Proportional to 16,547.60, 24,821.40 and 8,228.90

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Solution

The fourth proportional to 16,547.60, 24,821.40 and 8,228.90 is: 12,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.60 : 24,821.40 = 8,228.90 : x
  2. Step 2: Convert to fraction form
    16,547.60/24,821.40 = 8,228.90/x
  3. Step 3: Cross multiply
    16,547.60x = 24,821.40 × 8,228.90
  4. Step 4: Simplify right side
    16,547.60x = 204,252,818.46
  5. Step 5: Solve for x
    x = 204,252,818.46/16,547.60
  6. Step 6: Final answer
    x = 12,343.35

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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.