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Finding the Fourth Proportional to 25,697.36, 38,544.06 and 9,909.92

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Solution

The fourth proportional to 25,697.36, 38,544.06 and 9,909.92 is: 14,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.36 : 38,544.06 = 9,909.92 : x
  2. Step 2: Convert to fraction form
    25,697.36/38,544.06 = 9,909.92/x
  3. Step 3: Cross multiply
    25,697.36x = 38,544.06 × 9,909.92
  4. Step 4: Simplify right side
    25,697.36x = 381,968,551.08
  5. Step 5: Solve for x
    x = 381,968,551.08/25,697.36
  6. Step 6: Final answer
    x = 14,864.12

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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.