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Finding the Fourth Proportional to 15,991.86, 23,989.53 and 6,139.50

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Solution

The fourth proportional to 15,991.86, 23,989.53 and 6,139.50 is: 9,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.86 : 23,989.53 = 6,139.50 : x
  2. Step 2: Convert to fraction form
    15,991.86/23,989.53 = 6,139.50/x
  3. Step 3: Cross multiply
    15,991.86x = 23,989.53 × 6,139.50
  4. Step 4: Simplify right side
    15,991.86x = 147,283,719.44
  5. Step 5: Solve for x
    x = 147,283,719.44/15,991.86
  6. Step 6: Final answer
    x = 9,209.92

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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.