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Finding the Fourth Proportional to 12,856.52, 17,742.72 and 7,552.88

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Solution

The fourth proportional to 12,856.52, 17,742.72 and 7,552.88 is: 10,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.52 : 17,742.72 = 7,552.88 : x
  2. Step 2: Convert to fraction form
    12,856.52/17,742.72 = 7,552.88/x
  3. Step 3: Cross multiply
    12,856.52x = 17,742.72 × 7,552.88
  4. Step 4: Simplify right side
    12,856.52x = 134,008,635.03
  5. Step 5: Solve for x
    x = 134,008,635.03/12,856.52
  6. Step 6: Final answer
    x = 10,423.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.