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Finding the Fourth Proportional to 15,595.28, 23,393.76 and 6,830

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Solution

The fourth proportional to 15,595.28, 23,393.76 and 6,830 is: 10,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,595.28 : 23,393.76 = 6,830 : x
  2. Step 2: Convert to fraction form
    15,595.28/23,393.76 = 6,830/x
  3. Step 3: Cross multiply
    15,595.28x = 23,393.76 × 6,830
  4. Step 4: Simplify right side
    15,595.28x = 159,779,380.80
  5. Step 5: Solve for x
    x = 159,779,380.80/15,595.28
  6. Step 6: Final answer
    x = 10,245.37

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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.