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Finding the Fourth Proportional to 25,838.04, 38,760.98 and 11,047

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Solution

The fourth proportional to 25,838.04, 38,760.98 and 11,047 is: 16,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.04 : 38,760.98 = 11,047 : x
  2. Step 2: Convert to fraction form
    25,838.04/38,760.98 = 11,047/x
  3. Step 3: Cross multiply
    25,838.04x = 38,760.98 × 11,047
  4. Step 4: Simplify right side
    25,838.04x = 428,192,546.06
  5. Step 5: Solve for x
    x = 428,192,546.06/25,838.04
  6. Step 6: Final answer
    x = 16,572.18

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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.