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Finding the Fourth Proportional to 15,879.12, 23,817.47 and 6,516.74

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Solution

The fourth proportional to 15,879.12, 23,817.47 and 6,516.74 is: 9,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879.12 : 23,817.47 = 6,516.74 : x
  2. Step 2: Convert to fraction form
    15,879.12/23,817.47 = 6,516.74/x
  3. Step 3: Cross multiply
    15,879.12x = 23,817.47 × 6,516.74
  4. Step 4: Simplify right side
    15,879.12x = 155,212,107.78
  5. Step 5: Solve for x
    x = 155,212,107.78/15,879.12
  6. Step 6: Final answer
    x = 9,774.60

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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.