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Finding the Fourth Proportional to 25,148.60, 37,727.73 and 9,564.98

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Solution

The fourth proportional to 25,148.60, 37,727.73 and 9,564.98 is: 14,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.60 : 37,727.73 = 9,564.98 : x
  2. Step 2: Convert to fraction form
    25,148.60/37,727.73 = 9,564.98/x
  3. Step 3: Cross multiply
    25,148.60x = 37,727.73 × 9,564.98
  4. Step 4: Simplify right side
    25,148.60x = 360,864,982.90
  5. Step 5: Solve for x
    x = 360,864,982.90/25,148.60
  6. Step 6: Final answer
    x = 14,349.31

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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.