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Finding the Fourth Proportional to 16,070.11, 24,120.76 and 7,755.98

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Solution

The fourth proportional to 16,070.11, 24,120.76 and 7,755.98 is: 11,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.11 : 24,120.76 = 7,755.98 : x
  2. Step 2: Convert to fraction form
    16,070.11/24,120.76 = 7,755.98/x
  3. Step 3: Cross multiply
    16,070.11x = 24,120.76 × 7,755.98
  4. Step 4: Simplify right side
    16,070.11x = 187,080,132.14
  5. Step 5: Solve for x
    x = 187,080,132.14/16,070.11
  6. Step 6: Final answer
    x = 11,641.50

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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.