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Finding the Fourth Proportional to 17,877.17, 24,670.16 and 9,919.23

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Solution

The fourth proportional to 17,877.17, 24,670.16 and 9,919.23 is: 13,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.17 : 24,670.16 = 9,919.23 : x
  2. Step 2: Convert to fraction form
    17,877.17/24,670.16 = 9,919.23/x
  3. Step 3: Cross multiply
    17,877.17x = 24,670.16 × 9,919.23
  4. Step 4: Simplify right side
    17,877.17x = 244,708,867.83
  5. Step 5: Solve for x
    x = 244,708,867.83/17,877.17
  6. Step 6: Final answer
    x = 13,688.34

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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.