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Finding the Fourth Proportional to 22,802.13, 31,463.10 and 12,730.19

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Solution

The fourth proportional to 22,802.13, 31,463.10 and 12,730.19 is: 17,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.13 : 31,463.10 = 12,730.19 : x
  2. Step 2: Convert to fraction form
    22,802.13/31,463.10 = 12,730.19/x
  3. Step 3: Cross multiply
    22,802.13x = 31,463.10 × 12,730.19
  4. Step 4: Simplify right side
    22,802.13x = 400,531,083.67
  5. Step 5: Solve for x
    x = 400,531,083.67/22,802.13
  6. Step 6: Final answer
    x = 17,565.51

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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.