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Finding the Fourth Proportional to 17,532, 24,197.04 and 10,078.56

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Solution

The fourth proportional to 17,532, 24,197.04 and 10,078.56 is: 13,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532 : 24,197.04 = 10,078.56 : x
  2. Step 2: Convert to fraction form
    17,532/24,197.04 = 10,078.56/x
  3. Step 3: Cross multiply
    17,532x = 24,197.04 × 10,078.56
  4. Step 4: Simplify right side
    17,532x = 243,871,319.46
  5. Step 5: Solve for x
    x = 243,871,319.46/17,532
  6. Step 6: Final answer
    x = 13,910.07

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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.