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Finding the Fourth Proportional to 16,070.07, 24,120.68 and 7,755.93

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Solution

The fourth proportional to 16,070.07, 24,120.68 and 7,755.93 is: 11,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.07 : 24,120.68 = 7,755.93 : x
  2. Step 2: Convert to fraction form
    16,070.07/24,120.68 = 7,755.93/x
  3. Step 3: Cross multiply
    16,070.07x = 24,120.68 × 7,755.93
  4. Step 4: Simplify right side
    16,070.07x = 187,078,266.85
  5. Step 5: Solve for x
    x = 187,078,266.85/16,070.07
  6. Step 6: Final answer
    x = 11,641.41

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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.