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Finding the Fourth Proportional to 24,242.24, 36,326.88 and 16,424

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Solution

The fourth proportional to 24,242.24, 36,326.88 and 16,424 is: 24,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.24 : 36,326.88 = 16,424 : x
  2. Step 2: Convert to fraction form
    24,242.24/36,326.88 = 16,424/x
  3. Step 3: Cross multiply
    24,242.24x = 36,326.88 × 16,424
  4. Step 4: Simplify right side
    24,242.24x = 596,632,677.12
  5. Step 5: Solve for x
    x = 596,632,677.12/24,242.24
  6. Step 6: Final answer
    x = 24,611.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.