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Finding the Fourth Proportional to 22,838.68, 31,516.23 and 12,765.16

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Solution

The fourth proportional to 22,838.68, 31,516.23 and 12,765.16 is: 17,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.68 : 31,516.23 = 12,765.16 : x
  2. Step 2: Convert to fraction form
    22,838.68/31,516.23 = 12,765.16/x
  3. Step 3: Cross multiply
    22,838.68x = 31,516.23 × 12,765.16
  4. Step 4: Simplify right side
    22,838.68x = 402,309,718.55
  5. Step 5: Solve for x
    x = 402,309,718.55/22,838.68
  6. Step 6: Final answer
    x = 17,615.28

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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.