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Finding the Fourth Proportional to 17,646.32, 24,348.40 and 10,474.94

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Solution

The fourth proportional to 17,646.32, 24,348.40 and 10,474.94 is: 14,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.32 : 24,348.40 = 10,474.94 : x
  2. Step 2: Convert to fraction form
    17,646.32/24,348.40 = 10,474.94/x
  3. Step 3: Cross multiply
    17,646.32x = 24,348.40 × 10,474.94
  4. Step 4: Simplify right side
    17,646.32x = 255,048,063.78
  5. Step 5: Solve for x
    x = 255,048,063.78/17,646.32
  6. Step 6: Final answer
    x = 14,453.33

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