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Finding the Fourth Proportional to 13,901.85, 20,856.02 and 4,041.32

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Solution

The fourth proportional to 13,901.85, 20,856.02 and 4,041.32 is: 6,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.85 : 20,856.02 = 4,041.32 : x
  2. Step 2: Convert to fraction form
    13,901.85/20,856.02 = 4,041.32/x
  3. Step 3: Cross multiply
    13,901.85x = 20,856.02 × 4,041.32
  4. Step 4: Simplify right side
    13,901.85x = 84,285,726.26
  5. Step 5: Solve for x
    x = 84,285,726.26/13,901.85
  6. Step 6: Final answer
    x = 6,062.91

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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.