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Finding the Fourth Proportional to 13,700.16, 20,451.17 and 12,039.46

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Solution

The fourth proportional to 13,700.16, 20,451.17 and 12,039.46 is: 17,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.16 : 20,451.17 = 12,039.46 : x
  2. Step 2: Convert to fraction form
    13,700.16/20,451.17 = 12,039.46/x
  3. Step 3: Cross multiply
    13,700.16x = 20,451.17 × 12,039.46
  4. Step 4: Simplify right side
    13,700.16x = 246,221,043.17
  5. Step 5: Solve for x
    x = 246,221,043.17/13,700.16
  6. Step 6: Final answer
    x = 17,972.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.