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Finding the Fourth Proportional to 25,955.81, 38,930.01 and 8,184.17

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Solution

The fourth proportional to 25,955.81, 38,930.01 and 8,184.17 is: 12,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,955.81 : 38,930.01 = 8,184.17 : x
  2. Step 2: Convert to fraction form
    25,955.81/38,930.01 = 8,184.17/x
  3. Step 3: Cross multiply
    25,955.81x = 38,930.01 × 8,184.17
  4. Step 4: Simplify right side
    25,955.81x = 318,609,625.29
  5. Step 5: Solve for x
    x = 318,609,625.29/25,955.81
  6. Step 6: Final answer
    x = 12,275.08

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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.