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Finding the Fourth Proportional to 16,235.65, 24,351.35 and 5,142.43

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Solution

The fourth proportional to 16,235.65, 24,351.35 and 5,142.43 is: 7,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.65 : 24,351.35 = 5,142.43 : x
  2. Step 2: Convert to fraction form
    16,235.65/24,351.35 = 5,142.43/x
  3. Step 3: Cross multiply
    16,235.65x = 24,351.35 × 5,142.43
  4. Step 4: Simplify right side
    16,235.65x = 125,225,026.19
  5. Step 5: Solve for x
    x = 125,225,026.19/16,235.65
  6. Step 6: Final answer
    x = 7,712.97

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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.