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Finding the Fourth Proportional to 22,657.34, 31,256.28 and 15,946.69

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Solution

The fourth proportional to 22,657.34, 31,256.28 and 15,946.69 is: 21,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.34 : 31,256.28 = 15,946.69 : x
  2. Step 2: Convert to fraction form
    22,657.34/31,256.28 = 15,946.69/x
  3. Step 3: Cross multiply
    22,657.34x = 31,256.28 × 15,946.69
  4. Step 4: Simplify right side
    22,657.34x = 498,434,207.71
  5. Step 5: Solve for x
    x = 498,434,207.71/22,657.34
  6. Step 6: Final answer
    x = 21,998.80

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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.