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Finding the Fourth Proportional to 15,751.86, 21,735.72 and 9,036.42

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Solution

The fourth proportional to 15,751.86, 21,735.72 and 9,036.42 is: 12,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.86 : 21,735.72 = 9,036.42 : x
  2. Step 2: Convert to fraction form
    15,751.86/21,735.72 = 9,036.42/x
  3. Step 3: Cross multiply
    15,751.86x = 21,735.72 × 9,036.42
  4. Step 4: Simplify right side
    15,751.86x = 196,413,094.92
  5. Step 5: Solve for x
    x = 196,413,094.92/15,751.86
  6. Step 6: Final answer
    x = 12,469.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.