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Finding the Fourth Proportional to 14,689.50, 20,274.30 and 8,724.42

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Solution

The fourth proportional to 14,689.50, 20,274.30 and 8,724.42 is: 12,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.50 : 20,274.30 = 8,724.42 : x
  2. Step 2: Convert to fraction form
    14,689.50/20,274.30 = 8,724.42/x
  3. Step 3: Cross multiply
    14,689.50x = 20,274.30 × 8,724.42
  4. Step 4: Simplify right side
    14,689.50x = 176,881,508.41
  5. Step 5: Solve for x
    x = 176,881,508.41/14,689.50
  6. Step 6: Final answer
    x = 12,041.36

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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.