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Finding the Fourth Proportional to 22,605.25, 31,195.95 and 12,534.61

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Solution

The fourth proportional to 22,605.25, 31,195.95 and 12,534.61 is: 17,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.25 : 31,195.95 = 12,534.61 : x
  2. Step 2: Convert to fraction form
    22,605.25/31,195.95 = 12,534.61/x
  3. Step 3: Cross multiply
    22,605.25x = 31,195.95 × 12,534.61
  4. Step 4: Simplify right side
    22,605.25x = 391,029,066.83
  5. Step 5: Solve for x
    x = 391,029,066.83/22,605.25
  6. Step 6: Final answer
    x = 17,298.15

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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.