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Finding the Fourth Proportional to 22,603.11, 31,194.14 and 12,534.71

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Solution

The fourth proportional to 22,603.11, 31,194.14 and 12,534.71 is: 17,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.11 : 31,194.14 = 12,534.71 : x
  2. Step 2: Convert to fraction form
    22,603.11/31,194.14 = 12,534.71/x
  3. Step 3: Cross multiply
    22,603.11x = 31,194.14 × 12,534.71
  4. Step 4: Simplify right side
    22,603.11x = 391,009,279.96
  5. Step 5: Solve for x
    x = 391,009,279.96/22,603.11
  6. Step 6: Final answer
    x = 17,298.92

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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.