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Finding the Fourth Proportional to 10,724.29, 16,013.09 and 9,606.49

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Solution

The fourth proportional to 10,724.29, 16,013.09 and 9,606.49 is: 14,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.29 : 16,013.09 = 9,606.49 : x
  2. Step 2: Convert to fraction form
    10,724.29/16,013.09 = 9,606.49/x
  3. Step 3: Cross multiply
    10,724.29x = 16,013.09 × 9,606.49
  4. Step 4: Simplify right side
    10,724.29x = 153,829,588.95
  5. Step 5: Solve for x
    x = 153,829,588.95/10,724.29
  6. Step 6: Final answer
    x = 14,344.03

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Why These Related Problems?

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