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Finding the Fourth Proportional to 25,510.86, 38,257.17 and 8,866.86

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Solution

The fourth proportional to 25,510.86, 38,257.17 and 8,866.86 is: 13,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,510.86 : 38,257.17 = 8,866.86 : x
  2. Step 2: Convert to fraction form
    25,510.86/38,257.17 = 8,866.86/x
  3. Step 3: Cross multiply
    25,510.86x = 38,257.17 × 8,866.86
  4. Step 4: Simplify right side
    25,510.86x = 339,220,970.39
  5. Step 5: Solve for x
    x = 339,220,970.39/25,510.86
  6. Step 6: Final answer
    x = 13,297.12

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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.