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Finding the Fourth Proportional to 26,483.32, 39,720.66 and 8,011

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Solution

The fourth proportional to 26,483.32, 39,720.66 and 8,011 is: 12,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,483.32 : 39,720.66 = 8,011 : x
  2. Step 2: Convert to fraction form
    26,483.32/39,720.66 = 8,011/x
  3. Step 3: Cross multiply
    26,483.32x = 39,720.66 × 8,011
  4. Step 4: Simplify right side
    26,483.32x = 318,202,207.26
  5. Step 5: Solve for x
    x = 318,202,207.26/26,483.32
  6. Step 6: Final answer
    x = 12,015.19

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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.