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Finding the Fourth Proportional to 15,916.50, 23,706.63 and 15,083.82

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Solution

The fourth proportional to 15,916.50, 23,706.63 and 15,083.82 is: 22,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.50 : 23,706.63 = 15,083.82 : x
  2. Step 2: Convert to fraction form
    15,916.50/23,706.63 = 15,083.82/x
  3. Step 3: Cross multiply
    15,916.50x = 23,706.63 × 15,083.82
  4. Step 4: Simplify right side
    15,916.50x = 357,586,539.73
  5. Step 5: Solve for x
    x = 357,586,539.73/15,916.50
  6. Step 6: Final answer
    x = 22,466.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.