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Finding the Fourth Proportional to 15,056.56, 22,565.84 and 7,662.88

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Solution

The fourth proportional to 15,056.56, 22,565.84 and 7,662.88 is: 11,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.56 : 22,565.84 = 7,662.88 : x
  2. Step 2: Convert to fraction form
    15,056.56/22,565.84 = 7,662.88/x
  3. Step 3: Cross multiply
    15,056.56x = 22,565.84 × 7,662.88
  4. Step 4: Simplify right side
    15,056.56x = 172,919,324.02
  5. Step 5: Solve for x
    x = 172,919,324.02/15,056.56
  6. Step 6: Final answer
    x = 11,484.65

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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.