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Finding the Fourth Proportional to 16,013.38, 24,019.74 and 5,340.51

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Solution

The fourth proportional to 16,013.38, 24,019.74 and 5,340.51 is: 8,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.38 : 24,019.74 = 5,340.51 : x
  2. Step 2: Convert to fraction form
    16,013.38/24,019.74 = 5,340.51/x
  3. Step 3: Cross multiply
    16,013.38x = 24,019.74 × 5,340.51
  4. Step 4: Simplify right side
    16,013.38x = 128,277,675.02
  5. Step 5: Solve for x
    x = 128,277,675.02/16,013.38
  6. Step 6: Final answer
    x = 8,010.65

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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.