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Finding the Fourth Proportional to 15,802.50, 23,718.32 and 8,016.78

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Solution

The fourth proportional to 15,802.50, 23,718.32 and 8,016.78 is: 12,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.50 : 23,718.32 = 8,016.78 : x
  2. Step 2: Convert to fraction form
    15,802.50/23,718.32 = 8,016.78/x
  3. Step 3: Cross multiply
    15,802.50x = 23,718.32 × 8,016.78
  4. Step 4: Simplify right side
    15,802.50x = 190,144,553.41
  5. Step 5: Solve for x
    x = 190,144,553.41/15,802.50
  6. Step 6: Final answer
    x = 12,032.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.