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Finding the Fourth Proportional to 23,693.46, 35,539.11 and 8,901.24

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Solution

The fourth proportional to 23,693.46, 35,539.11 and 8,901.24 is: 13,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.46 : 35,539.11 = 8,901.24 : x
  2. Step 2: Convert to fraction form
    23,693.46/35,539.11 = 8,901.24/x
  3. Step 3: Cross multiply
    23,693.46x = 35,539.11 × 8,901.24
  4. Step 4: Simplify right side
    23,693.46x = 316,342,147.50
  5. Step 5: Solve for x
    x = 316,342,147.50/23,693.46
  6. Step 6: Final answer
    x = 13,351.45

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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.