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Finding the Fourth Proportional to 15,937.50, 23,916.52 and 6,703.50

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Solution

The fourth proportional to 15,937.50, 23,916.52 and 6,703.50 is: 10,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937.50 : 23,916.52 = 6,703.50 : x
  2. Step 2: Convert to fraction form
    15,937.50/23,916.52 = 6,703.50/x
  3. Step 3: Cross multiply
    15,937.50x = 23,916.52 × 6,703.50
  4. Step 4: Simplify right side
    15,937.50x = 160,324,391.82
  5. Step 5: Solve for x
    x = 160,324,391.82/15,937.50
  6. Step 6: Final answer
    x = 10,059.57

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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.