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Finding the Fourth Proportional to 22,538.16, 31,092.19 and 14,582.95

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Solution

The fourth proportional to 22,538.16, 31,092.19 and 14,582.95 is: 20,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.16 : 31,092.19 = 14,582.95 : x
  2. Step 2: Convert to fraction form
    22,538.16/31,092.19 = 14,582.95/x
  3. Step 3: Cross multiply
    22,538.16x = 31,092.19 × 14,582.95
  4. Step 4: Simplify right side
    22,538.16x = 453,415,737.97
  5. Step 5: Solve for x
    x = 453,415,737.97/22,538.16
  6. Step 6: Final answer
    x = 20,117.69

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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.