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Finding the Fourth Proportional to 15,134.17, 22,686.66 and 7,742.11

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Solution

The fourth proportional to 15,134.17, 22,686.66 and 7,742.11 is: 11,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134.17 : 22,686.66 = 7,742.11 : x
  2. Step 2: Convert to fraction form
    15,134.17/22,686.66 = 7,742.11/x
  3. Step 3: Cross multiply
    15,134.17x = 22,686.66 × 7,742.11
  4. Step 4: Simplify right side
    15,134.17x = 175,642,617.25
  5. Step 5: Solve for x
    x = 175,642,617.25/15,134.17
  6. Step 6: Final answer
    x = 11,605.70

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Why These Related Problems?

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