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Finding the Fourth Proportional to 12,901.28, 17,803.14 and 8,416.32

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Solution

The fourth proportional to 12,901.28, 17,803.14 and 8,416.32 is: 11,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.28 : 17,803.14 = 8,416.32 : x
  2. Step 2: Convert to fraction form
    12,901.28/17,803.14 = 8,416.32/x
  3. Step 3: Cross multiply
    12,901.28x = 17,803.14 × 8,416.32
  4. Step 4: Simplify right side
    12,901.28x = 149,836,923.24
  5. Step 5: Solve for x
    x = 149,836,923.24/12,901.28
  6. Step 6: Final answer
    x = 11,614.11

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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.