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Finding the Fourth Proportional to 22,802.16, 31,468.24 and 12,730.69

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Solution

The fourth proportional to 22,802.16, 31,468.24 and 12,730.69 is: 17,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.16 : 31,468.24 = 12,730.69 : x
  2. Step 2: Convert to fraction form
    22,802.16/31,468.24 = 12,730.69/x
  3. Step 3: Cross multiply
    22,802.16x = 31,468.24 × 12,730.69
  4. Step 4: Simplify right side
    22,802.16x = 400,612,408.29
  5. Step 5: Solve for x
    x = 400,612,408.29/22,802.16
  6. Step 6: Final answer
    x = 17,569.06

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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.