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Finding the Fourth Proportional to 16,030.86, 24,013.62 and 7,685.43

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Solution

The fourth proportional to 16,030.86, 24,013.62 and 7,685.43 is: 11,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.86 : 24,013.62 = 7,685.43 : x
  2. Step 2: Convert to fraction form
    16,030.86/24,013.62 = 7,685.43/x
  3. Step 3: Cross multiply
    16,030.86x = 24,013.62 × 7,685.43
  4. Step 4: Simplify right side
    16,030.86x = 184,554,995.56
  5. Step 5: Solve for x
    x = 184,554,995.56/16,030.86
  6. Step 6: Final answer
    x = 11,512.48

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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.