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Finding the Fourth Proportional to 15,876.41, 23,812.79 and 6,509.97

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Solution

The fourth proportional to 15,876.41, 23,812.79 and 6,509.97 is: 9,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.41 : 23,812.79 = 6,509.97 : x
  2. Step 2: Convert to fraction form
    15,876.41/23,812.79 = 6,509.97/x
  3. Step 3: Cross multiply
    15,876.41x = 23,812.79 × 6,509.97
  4. Step 4: Simplify right side
    15,876.41x = 155,020,515.97
  5. Step 5: Solve for x
    x = 155,020,515.97/15,876.41
  6. Step 6: Final answer
    x = 9,764.21

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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.