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Finding the Fourth Proportional to 21,074.16, 31,602.45 and 8,585.71

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Solution

The fourth proportional to 21,074.16, 31,602.45 and 8,585.71 is: 12,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.16 : 31,602.45 = 8,585.71 : x
  2. Step 2: Convert to fraction form
    21,074.16/31,602.45 = 8,585.71/x
  3. Step 3: Cross multiply
    21,074.16x = 31,602.45 × 8,585.71
  4. Step 4: Simplify right side
    21,074.16x = 271,329,470.99
  5. Step 5: Solve for x
    x = 271,329,470.99/21,074.16
  6. Step 6: Final answer
    x = 12,874.98

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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.