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Finding the Fourth Proportional to 25,575.98, 38,324.18 and 9,772.39

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Solution

The fourth proportional to 25,575.98, 38,324.18 and 9,772.39 is: 14,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575.98 : 38,324.18 = 9,772.39 : x
  2. Step 2: Convert to fraction form
    25,575.98/38,324.18 = 9,772.39/x
  3. Step 3: Cross multiply
    25,575.98x = 38,324.18 × 9,772.39
  4. Step 4: Simplify right side
    25,575.98x = 374,518,833.39
  5. Step 5: Solve for x
    x = 374,518,833.39/25,575.98
  6. Step 6: Final answer
    x = 14,643.38

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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.