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Finding the Fourth Proportional to 24,792.96, 37,192.88 and 13,107

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Solution

The fourth proportional to 24,792.96, 37,192.88 and 13,107 is: 19,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.96 : 37,192.88 = 13,107 : x
  2. Step 2: Convert to fraction form
    24,792.96/37,192.88 = 13,107/x
  3. Step 3: Cross multiply
    24,792.96x = 37,192.88 × 13,107
  4. Step 4: Simplify right side
    24,792.96x = 487,487,078.16
  5. Step 5: Solve for x
    x = 487,487,078.16/24,792.96
  6. Step 6: Final answer
    x = 19,662.32

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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.