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Finding the Fourth Proportional to 13,700.32, 20,532.48 and 7,462.96

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Solution

The fourth proportional to 13,700.32, 20,532.48 and 7,462.96 is: 11,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.32 : 20,532.48 = 7,462.96 : x
  2. Step 2: Convert to fraction form
    13,700.32/20,532.48 = 7,462.96/x
  3. Step 3: Cross multiply
    13,700.32x = 20,532.48 × 7,462.96
  4. Step 4: Simplify right side
    13,700.32x = 153,233,076.94
  5. Step 5: Solve for x
    x = 153,233,076.94/13,700.32
  6. Step 6: Final answer
    x = 11,184.63

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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.