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Finding the Fourth Proportional to 13,037.12, 17,989.86 and 8,001.54

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Solution

The fourth proportional to 13,037.12, 17,989.86 and 8,001.54 is: 11,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.12 : 17,989.86 = 8,001.54 : x
  2. Step 2: Convert to fraction form
    13,037.12/17,989.86 = 8,001.54/x
  3. Step 3: Cross multiply
    13,037.12x = 17,989.86 × 8,001.54
  4. Step 4: Simplify right side
    13,037.12x = 143,946,584.38
  5. Step 5: Solve for x
    x = 143,946,584.38/13,037.12
  6. Step 6: Final answer
    x = 11,041.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.