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Finding the Fourth Proportional to 13,726.66, 20,575.72 and 6,697.08

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Solution

The fourth proportional to 13,726.66, 20,575.72 and 6,697.08 is: 10,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.66 : 20,575.72 = 6,697.08 : x
  2. Step 2: Convert to fraction form
    13,726.66/20,575.72 = 6,697.08/x
  3. Step 3: Cross multiply
    13,726.66x = 20,575.72 × 6,697.08
  4. Step 4: Simplify right side
    13,726.66x = 137,797,242.90
  5. Step 5: Solve for x
    x = 137,797,242.90/13,726.66
  6. Step 6: Final answer
    x = 10,038.66

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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.