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Finding the Fourth Proportional to 10,653.64, 16,003.50 and 9,013.48

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Solution

The fourth proportional to 10,653.64, 16,003.50 and 9,013.48 is: 13,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.64 : 16,003.50 = 9,013.48 : x
  2. Step 2: Convert to fraction form
    10,653.64/16,003.50 = 9,013.48/x
  3. Step 3: Cross multiply
    10,653.64x = 16,003.50 × 9,013.48
  4. Step 4: Simplify right side
    10,653.64x = 144,247,227.18
  5. Step 5: Solve for x
    x = 144,247,227.18/10,653.64
  6. Step 6: Final answer
    x = 13,539.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.