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Finding the Fourth Proportional to 22,237.50, 30,687.76 and 13,854

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Solution

The fourth proportional to 22,237.50, 30,687.76 and 13,854 is: 19,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.50 : 30,687.76 = 13,854 : x
  2. Step 2: Convert to fraction form
    22,237.50/30,687.76 = 13,854/x
  3. Step 3: Cross multiply
    22,237.50x = 30,687.76 × 13,854
  4. Step 4: Simplify right side
    22,237.50x = 425,148,227.04
  5. Step 5: Solve for x
    x = 425,148,227.04/22,237.50
  6. Step 6: Final answer
    x = 19,118.53

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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.