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Finding the Fourth Proportional to 16,019.24, 24,034.00 and 7,699.86

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Solution

The fourth proportional to 16,019.24, 24,034.00 and 7,699.86 is: 11,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.24 : 24,034.00 = 7,699.86 : x
  2. Step 2: Convert to fraction form
    16,019.24/24,034.00 = 7,699.86/x
  3. Step 3: Cross multiply
    16,019.24x = 24,034.00 × 7,699.86
  4. Step 4: Simplify right side
    16,019.24x = 185,058,444.86
  5. Step 5: Solve for x
    x = 185,058,444.86/16,019.24
  6. Step 6: Final answer
    x = 11,552.26

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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.