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Finding the Fourth Proportional to 16,306.53, 24,459.60 and 6,445.74

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Solution

The fourth proportional to 16,306.53, 24,459.60 and 6,445.74 is: 9,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.53 : 24,459.60 = 6,445.74 : x
  2. Step 2: Convert to fraction form
    16,306.53/24,459.60 = 6,445.74/x
  3. Step 3: Cross multiply
    16,306.53x = 24,459.60 × 6,445.74
  4. Step 4: Simplify right side
    16,306.53x = 157,660,222.10
  5. Step 5: Solve for x
    x = 157,660,222.10/16,306.53
  6. Step 6: Final answer
    x = 9,668.53

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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.