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Finding the Fourth Proportional to 13,901.50, 20,853.16 and 5,580.42

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Solution

The fourth proportional to 13,901.50, 20,853.16 and 5,580.42 is: 8,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.50 : 20,853.16 = 5,580.42 : x
  2. Step 2: Convert to fraction form
    13,901.50/20,853.16 = 5,580.42/x
  3. Step 3: Cross multiply
    13,901.50x = 20,853.16 × 5,580.42
  4. Step 4: Simplify right side
    13,901.50x = 116,369,391.13
  5. Step 5: Solve for x
    x = 116,369,391.13/13,901.50
  6. Step 6: Final answer
    x = 8,371.00

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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.