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Finding the Fourth Proportional to 15,802.54, 23,711.20 and 6,916.73

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Solution

The fourth proportional to 15,802.54, 23,711.20 and 6,916.73 is: 10,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.54 : 23,711.20 = 6,916.73 : x
  2. Step 2: Convert to fraction form
    15,802.54/23,711.20 = 6,916.73/x
  3. Step 3: Cross multiply
    15,802.54x = 23,711.20 × 6,916.73
  4. Step 4: Simplify right side
    15,802.54x = 164,003,832.53
  5. Step 5: Solve for x
    x = 164,003,832.53/15,802.54
  6. Step 6: Final answer
    x = 10,378.32

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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.