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Finding the Fourth Proportional to 17,872.35, 24,663 and 9,914.40

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Solution

The fourth proportional to 17,872.35, 24,663 and 9,914.40 is: 13,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.35 : 24,663 = 9,914.40 : x
  2. Step 2: Convert to fraction form
    17,872.35/24,663 = 9,914.40/x
  3. Step 3: Cross multiply
    17,872.35x = 24,663 × 9,914.40
  4. Step 4: Simplify right side
    17,872.35x = 244,518,847.20
  5. Step 5: Solve for x
    x = 244,518,847.20/17,872.35
  6. Step 6: Final answer
    x = 13,681.40

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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.