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Finding the Fourth Proportional to 17,878.32, 24,684.35 and 11,167.20

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Solution

The fourth proportional to 17,878.32, 24,684.35 and 11,167.20 is: 15,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.32 : 24,684.35 = 11,167.20 : x
  2. Step 2: Convert to fraction form
    17,878.32/24,684.35 = 11,167.20/x
  3. Step 3: Cross multiply
    17,878.32x = 24,684.35 × 11,167.20
  4. Step 4: Simplify right side
    17,878.32x = 275,655,017.48
  5. Step 5: Solve for x
    x = 275,655,017.48/17,878.32
  6. Step 6: Final answer
    x = 15,418.40

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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.