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Finding the Fourth Proportional to 15,206.16, 22,809.24 and 12,147.60

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Solution

The fourth proportional to 15,206.16, 22,809.24 and 12,147.60 is: 18,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.16 : 22,809.24 = 12,147.60 : x
  2. Step 2: Convert to fraction form
    15,206.16/22,809.24 = 12,147.60/x
  3. Step 3: Cross multiply
    15,206.16x = 22,809.24 × 12,147.60
  4. Step 4: Simplify right side
    15,206.16x = 277,077,523.82
  5. Step 5: Solve for x
    x = 277,077,523.82/15,206.16
  6. Step 6: Final answer
    x = 18,221.40

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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.