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Finding the Fourth Proportional to 22,573.84, 31,149.34 and 12,499.74

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Solution

The fourth proportional to 22,573.84, 31,149.34 and 12,499.74 is: 17,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573.84 : 31,149.34 = 12,499.74 : x
  2. Step 2: Convert to fraction form
    22,573.84/31,149.34 = 12,499.74/x
  3. Step 3: Cross multiply
    22,573.84x = 31,149.34 × 12,499.74
  4. Step 4: Simplify right side
    22,573.84x = 389,358,651.17
  5. Step 5: Solve for x
    x = 389,358,651.17/22,573.84
  6. Step 6: Final answer
    x = 17,248.22

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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.