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Finding the Fourth Proportional to 22,897.14, 34,350.63 and 7,101.84

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Solution

The fourth proportional to 22,897.14, 34,350.63 and 7,101.84 is: 10,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.14 : 34,350.63 = 7,101.84 : x
  2. Step 2: Convert to fraction form
    22,897.14/34,350.63 = 7,101.84/x
  3. Step 3: Cross multiply
    22,897.14x = 34,350.63 × 7,101.84
  4. Step 4: Simplify right side
    22,897.14x = 243,952,678.16
  5. Step 5: Solve for x
    x = 243,952,678.16/22,897.14
  6. Step 6: Final answer
    x = 10,654.29

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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.