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Finding the Fourth Proportional to 17,482.41, 24,125.64 and 9,524.61

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Solution

The fourth proportional to 17,482.41, 24,125.64 and 9,524.61 is: 13,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,482.41 : 24,125.64 = 9,524.61 : x
  2. Step 2: Convert to fraction form
    17,482.41/24,125.64 = 9,524.61/x
  3. Step 3: Cross multiply
    17,482.41x = 24,125.64 × 9,524.61
  4. Step 4: Simplify right side
    17,482.41x = 229,787,312.00
  5. Step 5: Solve for x
    x = 229,787,312.00/17,482.41
  6. Step 6: Final answer
    x = 13,143.92

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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.