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Finding the Fourth Proportional to 24,842.72, 37,263.20 and 10,802.72

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Solution

The fourth proportional to 24,842.72, 37,263.20 and 10,802.72 is: 16,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.72 : 37,263.20 = 10,802.72 : x
  2. Step 2: Convert to fraction form
    24,842.72/37,263.20 = 10,802.72/x
  3. Step 3: Cross multiply
    24,842.72x = 37,263.20 × 10,802.72
  4. Step 4: Simplify right side
    24,842.72x = 402,543,915.90
  5. Step 5: Solve for x
    x = 402,543,915.90/24,842.72
  6. Step 6: Final answer
    x = 16,203.70

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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.