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Finding the Fourth Proportional to 16,547.10, 24,820.65 and 9,969.90

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Solution

The fourth proportional to 16,547.10, 24,820.65 and 9,969.90 is: 14,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.10 : 24,820.65 = 9,969.90 : x
  2. Step 2: Convert to fraction form
    16,547.10/24,820.65 = 9,969.90/x
  3. Step 3: Cross multiply
    16,547.10x = 24,820.65 × 9,969.90
  4. Step 4: Simplify right side
    16,547.10x = 247,459,398.44
  5. Step 5: Solve for x
    x = 247,459,398.44/16,547.10
  6. Step 6: Final answer
    x = 14,954.85

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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.