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Finding the Fourth Proportional to 15,671.22, 23,490.30 and 5,138.49

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Solution

The fourth proportional to 15,671.22, 23,490.30 and 5,138.49 is: 7,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671.22 : 23,490.30 = 5,138.49 : x
  2. Step 2: Convert to fraction form
    15,671.22/23,490.30 = 5,138.49/x
  3. Step 3: Cross multiply
    15,671.22x = 23,490.30 × 5,138.49
  4. Step 4: Simplify right side
    15,671.22x = 120,704,646.87
  5. Step 5: Solve for x
    x = 120,704,646.87/15,671.22
  6. Step 6: Final answer
    x = 7,702.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.