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Finding the Fourth Proportional to 14,757.93, 22,124.84 and 6,865.38

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Solution

The fourth proportional to 14,757.93, 22,124.84 and 6,865.38 is: 10,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.93 : 22,124.84 = 6,865.38 : x
  2. Step 2: Convert to fraction form
    14,757.93/22,124.84 = 6,865.38/x
  3. Step 3: Cross multiply
    14,757.93x = 22,124.84 × 6,865.38
  4. Step 4: Simplify right side
    14,757.93x = 151,895,399.71
  5. Step 5: Solve for x
    x = 151,895,399.71/14,757.93
  6. Step 6: Final answer
    x = 10,292.46

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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.