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Finding the Fourth Proportional to 15,671.39, 23,509.32 and 5,142.23

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Solution

The fourth proportional to 15,671.39, 23,509.32 and 5,142.23 is: 7,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671.39 : 23,509.32 = 5,142.23 : x
  2. Step 2: Convert to fraction form
    15,671.39/23,509.32 = 5,142.23/x
  3. Step 3: Cross multiply
    15,671.39x = 23,509.32 × 5,142.23
  4. Step 4: Simplify right side
    15,671.39x = 120,890,443.08
  5. Step 5: Solve for x
    x = 120,890,443.08/15,671.39
  6. Step 6: Final answer
    x = 7,714.09

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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.