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Finding the Fourth Proportional to 22,590, 31,171.97 and 13,030.76

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Solution

The fourth proportional to 22,590, 31,171.97 and 13,030.76 is: 17,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590 : 31,171.97 = 13,030.76 : x
  2. Step 2: Convert to fraction form
    22,590/31,171.97 = 13,030.76/x
  3. Step 3: Cross multiply
    22,590x = 31,171.97 × 13,030.76
  4. Step 4: Simplify right side
    22,590x = 406,194,238.78
  5. Step 5: Solve for x
    x = 406,194,238.78/22,590
  6. Step 6: Final answer
    x = 17,981.15

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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.