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Finding the Fourth Proportional to 25,349.60, 38,016 and 8,706.08

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Solution

The fourth proportional to 25,349.60, 38,016 and 8,706.08 is: 13,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.60 : 38,016 = 8,706.08 : x
  2. Step 2: Convert to fraction form
    25,349.60/38,016 = 8,706.08/x
  3. Step 3: Cross multiply
    25,349.60x = 38,016 × 8,706.08
  4. Step 4: Simplify right side
    25,349.60x = 330,970,337.28
  5. Step 5: Solve for x
    x = 330,970,337.28/25,349.60
  6. Step 6: Final answer
    x = 13,056.24

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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.