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Finding the Fourth Proportional to 17,920.90, 24,702.06 and 14,137.66

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Solution

The fourth proportional to 17,920.90, 24,702.06 and 14,137.66 is: 19,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.90 : 24,702.06 = 14,137.66 : x
  2. Step 2: Convert to fraction form
    17,920.90/24,702.06 = 14,137.66/x
  3. Step 3: Cross multiply
    17,920.90x = 24,702.06 × 14,137.66
  4. Step 4: Simplify right side
    17,920.90x = 349,229,325.58
  5. Step 5: Solve for x
    x = 349,229,325.58/17,920.90
  6. Step 6: Final answer
    x = 19,487.26

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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.