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Finding the Fourth Proportional to 14,523.61, 20,049.21 and 11,165.24

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Solution

The fourth proportional to 14,523.61, 20,049.21 and 11,165.24 is: 15,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.61 : 20,049.21 = 11,165.24 : x
  2. Step 2: Convert to fraction form
    14,523.61/20,049.21 = 11,165.24/x
  3. Step 3: Cross multiply
    14,523.61x = 20,049.21 × 11,165.24
  4. Step 4: Simplify right side
    14,523.61x = 223,854,241.46
  5. Step 5: Solve for x
    x = 223,854,241.46/14,523.61
  6. Step 6: Final answer
    x = 15,413.13

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1.5x scale

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.