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Finding the Fourth Proportional to 17,877.82, 24,671.39 and 9,920.10

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Solution

The fourth proportional to 17,877.82, 24,671.39 and 9,920.10 is: 13,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.82 : 24,671.39 = 9,920.10 : x
  2. Step 2: Convert to fraction form
    17,877.82/24,671.39 = 9,920.10/x
  3. Step 3: Cross multiply
    17,877.82x = 24,671.39 × 9,920.10
  4. Step 4: Simplify right side
    17,877.82x = 244,742,655.94
  5. Step 5: Solve for x
    x = 244,742,655.94/17,877.82
  6. Step 6: Final answer
    x = 13,689.74

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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.