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Finding the Fourth Proportional to 22,552.08, 31,123.82 and 13,120

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Solution

The fourth proportional to 22,552.08, 31,123.82 and 13,120 is: 18,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.08 : 31,123.82 = 13,120 : x
  2. Step 2: Convert to fraction form
    22,552.08/31,123.82 = 13,120/x
  3. Step 3: Cross multiply
    22,552.08x = 31,123.82 × 13,120
  4. Step 4: Simplify right side
    22,552.08x = 408,344,518.40
  5. Step 5: Solve for x
    x = 408,344,518.40/22,552.08
  6. Step 6: Final answer
    x = 18,106.73

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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.