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Finding the Fourth Proportional to 25,365.60, 38,025.36 and 9,794.88

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Solution

The fourth proportional to 25,365.60, 38,025.36 and 9,794.88 is: 14,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,365.60 : 38,025.36 = 9,794.88 : x
  2. Step 2: Convert to fraction form
    25,365.60/38,025.36 = 9,794.88/x
  3. Step 3: Cross multiply
    25,365.60x = 38,025.36 × 9,794.88
  4. Step 4: Simplify right side
    25,365.60x = 372,453,838.16
  5. Step 5: Solve for x
    x = 372,453,838.16/25,365.60
  6. Step 6: Final answer
    x = 14,683.42

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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.