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Finding the Fourth Proportional to 16,306.30, 24,459.61 and 5,212.74

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Solution

The fourth proportional to 16,306.30, 24,459.61 and 5,212.74 is: 7,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.30 : 24,459.61 = 5,212.74 : x
  2. Step 2: Convert to fraction form
    16,306.30/24,459.61 = 5,212.74/x
  3. Step 3: Cross multiply
    16,306.30x = 24,459.61 × 5,212.74
  4. Step 4: Simplify right side
    16,306.30x = 127,501,465.13
  5. Step 5: Solve for x
    x = 127,501,465.13/16,306.30
  6. Step 6: Final answer
    x = 7,819.16

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