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Finding the Fourth Proportional to 16,213.12, 24,311.23 and 7,655.63

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Solution

The fourth proportional to 16,213.12, 24,311.23 and 7,655.63 is: 11,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.12 : 24,311.23 = 7,655.63 : x
  2. Step 2: Convert to fraction form
    16,213.12/24,311.23 = 7,655.63/x
  3. Step 3: Cross multiply
    16,213.12x = 24,311.23 × 7,655.63
  4. Step 4: Simplify right side
    16,213.12x = 186,117,781.72
  5. Step 5: Solve for x
    x = 186,117,781.72/16,213.12
  6. Step 6: Final answer
    x = 11,479.46

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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.