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Finding the Fourth Proportional to 13,222.32, 18,247.32 and 7,254.20

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Solution

The fourth proportional to 13,222.32, 18,247.32 and 7,254.20 is: 10,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.32 : 18,247.32 = 7,254.20 : x
  2. Step 2: Convert to fraction form
    13,222.32/18,247.32 = 7,254.20/x
  3. Step 3: Cross multiply
    13,222.32x = 18,247.32 × 7,254.20
  4. Step 4: Simplify right side
    13,222.32x = 132,369,708.74
  5. Step 5: Solve for x
    x = 132,369,708.74/13,222.32
  6. Step 6: Final answer
    x = 10,011.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.