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Finding the Fourth Proportional to 25,398.30, 38,098.53 and 7,868.46

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Solution

The fourth proportional to 25,398.30, 38,098.53 and 7,868.46 is: 11,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,398.30 : 38,098.53 = 7,868.46 : x
  2. Step 2: Convert to fraction form
    25,398.30/38,098.53 = 7,868.46/x
  3. Step 3: Cross multiply
    25,398.30x = 38,098.53 × 7,868.46
  4. Step 4: Simplify right side
    25,398.30x = 299,776,759.36
  5. Step 5: Solve for x
    x = 299,776,759.36/25,398.30
  6. Step 6: Final answer
    x = 11,803.02

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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.