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Finding the Fourth Proportional to 15,965.12, 22,009 and 11,234.72

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Solution

The fourth proportional to 15,965.12, 22,009 and 11,234.72 is: 15,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.12 : 22,009 = 11,234.72 : x
  2. Step 2: Convert to fraction form
    15,965.12/22,009 = 11,234.72/x
  3. Step 3: Cross multiply
    15,965.12x = 22,009 × 11,234.72
  4. Step 4: Simplify right side
    15,965.12x = 247,264,952.48
  5. Step 5: Solve for x
    x = 247,264,952.48/15,965.12
  6. Step 6: Final answer
    x = 15,487.82

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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.