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Finding the Fourth Proportional to 26,797.32, 36,982.08 and 14,861.16

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Solution

The fourth proportional to 26,797.32, 36,982.08 and 14,861.16 is: 20,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,797.32 : 36,982.08 = 14,861.16 : x
  2. Step 2: Convert to fraction form
    26,797.32/36,982.08 = 14,861.16/x
  3. Step 3: Cross multiply
    26,797.32x = 36,982.08 × 14,861.16
  4. Step 4: Simplify right side
    26,797.32x = 549,596,608.01
  5. Step 5: Solve for x
    x = 549,596,608.01/26,797.32
  6. Step 6: Final answer
    x = 20,509.39

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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.