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Finding the Fourth Proportional to 23,171.50, 34,763.06 and 10,700.25

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Solution

The fourth proportional to 23,171.50, 34,763.06 and 10,700.25 is: 16,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,171.50 : 34,763.06 = 10,700.25 : x
  2. Step 2: Convert to fraction form
    23,171.50/34,763.06 = 10,700.25/x
  3. Step 3: Cross multiply
    23,171.50x = 34,763.06 × 10,700.25
  4. Step 4: Simplify right side
    23,171.50x = 371,973,432.77
  5. Step 5: Solve for x
    x = 371,973,432.77/23,171.50
  6. Step 6: Final answer
    x = 16,053.06

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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.