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Finding the Fourth Proportional to 15,094.56, 22,643.61 and 5,741.64

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Solution

The fourth proportional to 15,094.56, 22,643.61 and 5,741.64 is: 8,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.56 : 22,643.61 = 5,741.64 : x
  2. Step 2: Convert to fraction form
    15,094.56/22,643.61 = 5,741.64/x
  3. Step 3: Cross multiply
    15,094.56x = 22,643.61 × 5,741.64
  4. Step 4: Simplify right side
    15,094.56x = 130,011,456.92
  5. Step 5: Solve for x
    x = 130,011,456.92/15,094.56
  6. Step 6: Final answer
    x = 8,613.13

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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.