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Finding the Fourth Proportional to 22,123.84, 33,184.56 and 8,972.68

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Solution

The fourth proportional to 22,123.84, 33,184.56 and 8,972.68 is: 13,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.84 : 33,184.56 = 8,972.68 : x
  2. Step 2: Convert to fraction form
    22,123.84/33,184.56 = 8,972.68/x
  3. Step 3: Cross multiply
    22,123.84x = 33,184.56 × 8,972.68
  4. Step 4: Simplify right side
    22,123.84x = 297,754,437.82
  5. Step 5: Solve for x
    x = 297,754,437.82/22,123.84
  6. Step 6: Final answer
    x = 13,458.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.