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Finding the Fourth Proportional to 17,432.41, 24,056.06 and 9,474.46

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Solution

The fourth proportional to 17,432.41, 24,056.06 and 9,474.46 is: 13,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432.41 : 24,056.06 = 9,474.46 : x
  2. Step 2: Convert to fraction form
    17,432.41/24,056.06 = 9,474.46/x
  3. Step 3: Cross multiply
    17,432.41x = 24,056.06 × 9,474.46
  4. Step 4: Simplify right side
    17,432.41x = 227,918,178.23
  5. Step 5: Solve for x
    x = 227,918,178.23/17,432.41
  6. Step 6: Final answer
    x = 13,074.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.