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Finding the Fourth Proportional to 15,101.93, 22,656.81 and 5,742.11

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Solution

The fourth proportional to 15,101.93, 22,656.81 and 5,742.11 is: 8,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.93 : 22,656.81 = 5,742.11 : x
  2. Step 2: Convert to fraction form
    15,101.93/22,656.81 = 5,742.11/x
  3. Step 3: Cross multiply
    15,101.93x = 22,656.81 × 5,742.11
  4. Step 4: Simplify right side
    15,101.93x = 130,097,895.27
  5. Step 5: Solve for x
    x = 130,097,895.27/15,101.93
  6. Step 6: Final answer
    x = 8,614.65

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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.