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Finding the Fourth Proportional to 25,900.71, 38,862.85 and 12,566.50

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Solution

The fourth proportional to 25,900.71, 38,862.85 and 12,566.50 is: 18,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.71 : 38,862.85 = 12,566.50 : x
  2. Step 2: Convert to fraction form
    25,900.71/38,862.85 = 12,566.50/x
  3. Step 3: Cross multiply
    25,900.71x = 38,862.85 × 12,566.50
  4. Step 4: Simplify right side
    25,900.71x = 488,370,004.53
  5. Step 5: Solve for x
    x = 488,370,004.53/25,900.71
  6. Step 6: Final answer
    x = 18,855.47

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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.