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Finding the Fourth Proportional to 17,908.64, 24,712.04 and 10,353.80

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Solution

The fourth proportional to 17,908.64, 24,712.04 and 10,353.80 is: 14,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908.64 : 24,712.04 = 10,353.80 : x
  2. Step 2: Convert to fraction form
    17,908.64/24,712.04 = 10,353.80/x
  3. Step 3: Cross multiply
    17,908.64x = 24,712.04 × 10,353.80
  4. Step 4: Simplify right side
    17,908.64x = 255,863,519.75
  5. Step 5: Solve for x
    x = 255,863,519.75/17,908.64
  6. Step 6: Final answer
    x = 14,287.16

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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.