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Finding the Fourth Proportional to 22,572.84, 31,147.96 and 12,498.74

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Solution

The fourth proportional to 22,572.84, 31,147.96 and 12,498.74 is: 17,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572.84 : 31,147.96 = 12,498.74 : x
  2. Step 2: Convert to fraction form
    22,572.84/31,147.96 = 12,498.74/x
  3. Step 3: Cross multiply
    22,572.84x = 31,147.96 × 12,498.74
  4. Step 4: Simplify right side
    22,572.84x = 389,310,253.57
  5. Step 5: Solve for x
    x = 389,310,253.57/22,572.84
  6. Step 6: Final answer
    x = 17,246.84

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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.