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Finding the Fourth Proportional to 22,666.30, 34,010.59 and 10,195.14

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Solution

The fourth proportional to 22,666.30, 34,010.59 and 10,195.14 is: 15,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.30 : 34,010.59 = 10,195.14 : x
  2. Step 2: Convert to fraction form
    22,666.30/34,010.59 = 10,195.14/x
  3. Step 3: Cross multiply
    22,666.30x = 34,010.59 × 10,195.14
  4. Step 4: Simplify right side
    22,666.30x = 346,742,726.53
  5. Step 5: Solve for x
    x = 346,742,726.53/22,666.30
  6. Step 6: Final answer
    x = 15,297.72

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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.