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Finding the Fourth Proportional to 25,527.52, 38,268.24 and 9,107.68

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Solution

The fourth proportional to 25,527.52, 38,268.24 and 9,107.68 is: 13,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.52 : 38,268.24 = 9,107.68 : x
  2. Step 2: Convert to fraction form
    25,527.52/38,268.24 = 9,107.68/x
  3. Step 3: Cross multiply
    25,527.52x = 38,268.24 × 9,107.68
  4. Step 4: Simplify right side
    25,527.52x = 348,534,884.08
  5. Step 5: Solve for x
    x = 348,534,884.08/25,527.52
  6. Step 6: Final answer
    x = 13,653.30

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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.