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Finding the Fourth Proportional to 25,894.32, 38,843.52 and 9,253.68

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Solution

The fourth proportional to 25,894.32, 38,843.52 and 9,253.68 is: 13,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.32 : 38,843.52 = 9,253.68 : x
  2. Step 2: Convert to fraction form
    25,894.32/38,843.52 = 9,253.68/x
  3. Step 3: Cross multiply
    25,894.32x = 38,843.52 × 9,253.68
  4. Step 4: Simplify right side
    25,894.32x = 359,445,504.15
  5. Step 5: Solve for x
    x = 359,445,504.15/25,894.32
  6. Step 6: Final answer
    x = 13,881.25

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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.