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Finding the Fourth Proportional to 22,617.75, 31,212.51 and 12,681.75

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Solution

The fourth proportional to 22,617.75, 31,212.51 and 12,681.75 is: 17,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.75 : 31,212.51 = 12,681.75 : x
  2. Step 2: Convert to fraction form
    22,617.75/31,212.51 = 12,681.75/x
  3. Step 3: Cross multiply
    22,617.75x = 31,212.51 × 12,681.75
  4. Step 4: Simplify right side
    22,617.75x = 395,829,248.69
  5. Step 5: Solve for x
    x = 395,829,248.69/22,617.75
  6. Step 6: Final answer
    x = 17,500.82

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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.