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Finding the Fourth Proportional to 15,597, 23,388.84 and 9,027.72

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Solution

The fourth proportional to 15,597, 23,388.84 and 9,027.72 is: 13,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597 : 23,388.84 = 9,027.72 : x
  2. Step 2: Convert to fraction form
    15,597/23,388.84 = 9,027.72/x
  3. Step 3: Cross multiply
    15,597x = 23,388.84 × 9,027.72
  4. Step 4: Simplify right side
    15,597x = 211,147,898.64
  5. Step 5: Solve for x
    x = 211,147,898.64/15,597
  6. Step 6: Final answer
    x = 13,537.73

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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.