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Finding the Fourth Proportional to 16,459.60, 24,691.02 and 6,070

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Solution

The fourth proportional to 16,459.60, 24,691.02 and 6,070 is: 9,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.60 : 24,691.02 = 6,070 : x
  2. Step 2: Convert to fraction form
    16,459.60/24,691.02 = 6,070/x
  3. Step 3: Cross multiply
    16,459.60x = 24,691.02 × 6,070
  4. Step 4: Simplify right side
    16,459.60x = 149,874,491.40
  5. Step 5: Solve for x
    x = 149,874,491.40/16,459.60
  6. Step 6: Final answer
    x = 9,105.60

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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.