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Finding the Fourth Proportional to 14,586.24, 20,129.04 and 7,962.24

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Solution

The fourth proportional to 14,586.24, 20,129.04 and 7,962.24 is: 10,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.24 : 20,129.04 = 7,962.24 : x
  2. Step 2: Convert to fraction form
    14,586.24/20,129.04 = 7,962.24/x
  3. Step 3: Cross multiply
    14,586.24x = 20,129.04 × 7,962.24
  4. Step 4: Simplify right side
    14,586.24x = 160,272,247.45
  5. Step 5: Solve for x
    x = 160,272,247.45/14,586.24
  6. Step 6: Final answer
    x = 10,987.91

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1.5x scale

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.