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Finding the Fourth Proportional to 22,272.32, 33,409.52 and 12,404.16

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Solution

The fourth proportional to 22,272.32, 33,409.52 and 12,404.16 is: 18,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.32 : 33,409.52 = 12,404.16 : x
  2. Step 2: Convert to fraction form
    22,272.32/33,409.52 = 12,404.16/x
  3. Step 3: Cross multiply
    22,272.32x = 33,409.52 × 12,404.16
  4. Step 4: Simplify right side
    22,272.32x = 414,417,031.60
  5. Step 5: Solve for x
    x = 414,417,031.60/22,272.32
  6. Step 6: Final answer
    x = 18,606.82

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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.