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Finding the Fourth Proportional to 17,853.20, 24,637.08 and 9,895.40

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Solution

The fourth proportional to 17,853.20, 24,637.08 and 9,895.40 is: 13,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.20 : 24,637.08 = 9,895.40 : x
  2. Step 2: Convert to fraction form
    17,853.20/24,637.08 = 9,895.40/x
  3. Step 3: Cross multiply
    17,853.20x = 24,637.08 × 9,895.40
  4. Step 4: Simplify right side
    17,853.20x = 243,793,761.43
  5. Step 5: Solve for x
    x = 243,793,761.43/17,853.20
  6. Step 6: Final answer
    x = 13,655.47

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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.