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Finding the Fourth Proportional to 25,864.61, 38,794.86 and 8,097.98

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Solution

The fourth proportional to 25,864.61, 38,794.86 and 8,097.98 is: 12,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864.61 : 38,794.86 = 8,097.98 : x
  2. Step 2: Convert to fraction form
    25,864.61/38,794.86 = 8,097.98/x
  3. Step 3: Cross multiply
    25,864.61x = 38,794.86 × 8,097.98
  4. Step 4: Simplify right side
    25,864.61x = 314,159,806.41
  5. Step 5: Solve for x
    x = 314,159,806.41/25,864.61
  6. Step 6: Final answer
    x = 12,146.32

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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.