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Finding the Fourth Proportional to 25,398.80, 38,097.72 and 9,807.44

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Solution

The fourth proportional to 25,398.80, 38,097.72 and 9,807.44 is: 14,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,398.80 : 38,097.72 = 9,807.44 : x
  2. Step 2: Convert to fraction form
    25,398.80/38,097.72 = 9,807.44/x
  3. Step 3: Cross multiply
    25,398.80x = 38,097.72 × 9,807.44
  4. Step 4: Simplify right side
    25,398.80x = 373,641,103.04
  5. Step 5: Solve for x
    x = 373,641,103.04/25,398.80
  6. Step 6: Final answer
    x = 14,710.97

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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.