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Finding the Fourth Proportional to 17,871.32, 24,661.50 and 9,913.37

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Solution

The fourth proportional to 17,871.32, 24,661.50 and 9,913.37 is: 13,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.32 : 24,661.50 = 9,913.37 : x
  2. Step 2: Convert to fraction form
    17,871.32/24,661.50 = 9,913.37/x
  3. Step 3: Cross multiply
    17,871.32x = 24,661.50 × 9,913.37
  4. Step 4: Simplify right side
    17,871.32x = 244,478,574.26
  5. Step 5: Solve for x
    x = 244,478,574.26/17,871.32
  6. Step 6: Final answer
    x = 13,679.94

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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.