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Finding the Fourth Proportional to 15,125.60, 22,653.84 and 8,956.64

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Solution

The fourth proportional to 15,125.60, 22,653.84 and 8,956.64 is: 13,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,125.60 : 22,653.84 = 8,956.64 : x
  2. Step 2: Convert to fraction form
    15,125.60/22,653.84 = 8,956.64/x
  3. Step 3: Cross multiply
    15,125.60x = 22,653.84 × 8,956.64
  4. Step 4: Simplify right side
    15,125.60x = 202,902,289.50
  5. Step 5: Solve for x
    x = 202,902,289.50/15,125.60
  6. Step 6: Final answer
    x = 13,414.50

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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.