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Finding the Fourth Proportional to 22,902.84, 34,350.93 and 8,869.47

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Solution

The fourth proportional to 22,902.84, 34,350.93 and 8,869.47 is: 13,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.84 : 34,350.93 = 8,869.47 : x
  2. Step 2: Convert to fraction form
    22,902.84/34,350.93 = 8,869.47/x
  3. Step 3: Cross multiply
    22,902.84x = 34,350.93 × 8,869.47
  4. Step 4: Simplify right side
    22,902.84x = 304,674,543.11
  5. Step 5: Solve for x
    x = 304,674,543.11/22,902.84
  6. Step 6: Final answer
    x = 13,302.92

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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.