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Finding the Fourth Proportional to 15,891.90, 23,830.65 and 6,027.90

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Solution

The fourth proportional to 15,891.90, 23,830.65 and 6,027.90 is: 9,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.90 : 23,830.65 = 6,027.90 : x
  2. Step 2: Convert to fraction form
    15,891.90/23,830.65 = 6,027.90/x
  3. Step 3: Cross multiply
    15,891.90x = 23,830.65 × 6,027.90
  4. Step 4: Simplify right side
    15,891.90x = 143,648,775.14
  5. Step 5: Solve for x
    x = 143,648,775.14/15,891.90
  6. Step 6: Final answer
    x = 9,039.12

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Why These Related Problems?

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