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Finding the Fourth Proportional to 15,614.89, 23,393.98 and 9,027.16

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Solution

The fourth proportional to 15,614.89, 23,393.98 and 9,027.16 is: 13,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.89 : 23,393.98 = 9,027.16 : x
  2. Step 2: Convert to fraction form
    15,614.89/23,393.98 = 9,027.16/x
  3. Step 3: Cross multiply
    15,614.89x = 23,393.98 × 9,027.16
  4. Step 4: Simplify right side
    15,614.89x = 211,181,200.50
  5. Step 5: Solve for x
    x = 211,181,200.50/15,614.89
  6. Step 6: Final answer
    x = 13,524.35

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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.