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Finding the Fourth Proportional to 22,931.44, 31,658.52 and 17,543.96

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Solution

The fourth proportional to 22,931.44, 31,658.52 and 17,543.96 is: 24,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.44 : 31,658.52 = 17,543.96 : x
  2. Step 2: Convert to fraction form
    22,931.44/31,658.52 = 17,543.96/x
  3. Step 3: Cross multiply
    22,931.44x = 31,658.52 × 17,543.96
  4. Step 4: Simplify right side
    22,931.44x = 555,415,808.54
  5. Step 5: Solve for x
    x = 555,415,808.54/22,931.44
  6. Step 6: Final answer
    x = 24,220.71

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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.