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Finding the Fourth Proportional to 41,509, 62,264.04 and 13,807

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Solution

The fourth proportional to 41,509, 62,264.04 and 13,807 is: 20,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509 : 62,264.04 = 13,807 : x
  2. Step 2: Convert to fraction form
    41,509/62,264.04 = 13,807/x
  3. Step 3: Cross multiply
    41,509x = 62,264.04 × 13,807
  4. Step 4: Simplify right side
    41,509x = 859,679,600.28
  5. Step 5: Solve for x
    x = 859,679,600.28/41,509
  6. Step 6: Final answer
    x = 20,710.68

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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.