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Finding the Fourth Proportional to 14,677.93, 20,255.49 and 8,714.50

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Solution

The fourth proportional to 14,677.93, 20,255.49 and 8,714.50 is: 12,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.93 : 20,255.49 = 8,714.50 : x
  2. Step 2: Convert to fraction form
    14,677.93/20,255.49 = 8,714.50/x
  3. Step 3: Cross multiply
    14,677.93x = 20,255.49 × 8,714.50
  4. Step 4: Simplify right side
    14,677.93x = 176,516,555.41
  5. Step 5: Solve for x
    x = 176,516,555.41/14,677.93
  6. Step 6: Final answer
    x = 12,025.99

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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.