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Finding the Fourth Proportional to 25,745.60, 38,618.40 and 9,124.40

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Solution

The fourth proportional to 25,745.60, 38,618.40 and 9,124.40 is: 13,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.60 : 38,618.40 = 9,124.40 : x
  2. Step 2: Convert to fraction form
    25,745.60/38,618.40 = 9,124.40/x
  3. Step 3: Cross multiply
    25,745.60x = 38,618.40 × 9,124.40
  4. Step 4: Simplify right side
    25,745.60x = 352,369,728.96
  5. Step 5: Solve for x
    x = 352,369,728.96/25,745.60
  6. Step 6: Final answer
    x = 13,686.60

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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.