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Finding the Fourth Proportional to 25,688.78, 38,533.04 and 8,159.96

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Solution

The fourth proportional to 25,688.78, 38,533.04 and 8,159.96 is: 12,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688.78 : 38,533.04 = 8,159.96 : x
  2. Step 2: Convert to fraction form
    25,688.78/38,533.04 = 8,159.96/x
  3. Step 3: Cross multiply
    25,688.78x = 38,533.04 × 8,159.96
  4. Step 4: Simplify right side
    25,688.78x = 314,428,065.08
  5. Step 5: Solve for x
    x = 314,428,065.08/25,688.78
  6. Step 6: Final answer
    x = 12,239.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.