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Finding the Fourth Proportional to 14,686.71, 20,267.68 and 8,719.57

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Solution

The fourth proportional to 14,686.71, 20,267.68 and 8,719.57 is: 12,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.71 : 20,267.68 = 8,719.57 : x
  2. Step 2: Convert to fraction form
    14,686.71/20,267.68 = 8,719.57/x
  3. Step 3: Cross multiply
    14,686.71x = 20,267.68 × 8,719.57
  4. Step 4: Simplify right side
    14,686.71x = 176,725,454.50
  5. Step 5: Solve for x
    x = 176,725,454.50/14,686.71
  6. Step 6: Final answer
    x = 12,033.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.