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Finding the Fourth Proportional to 22,802.18, 31,468.60 and 12,732.60

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Solution

The fourth proportional to 22,802.18, 31,468.60 and 12,732.60 is: 17,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.18 : 31,468.60 = 12,732.60 : x
  2. Step 2: Convert to fraction form
    22,802.18/31,468.60 = 12,732.60/x
  3. Step 3: Cross multiply
    22,802.18x = 31,468.60 × 12,732.60
  4. Step 4: Simplify right side
    22,802.18x = 400,677,096.36
  5. Step 5: Solve for x
    x = 400,677,096.36/22,802.18
  6. Step 6: Final answer
    x = 17,571.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.