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Finding the Fourth Proportional to 26,967.50, 40,459.24 and 13,829.10

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Solution

The fourth proportional to 26,967.50, 40,459.24 and 13,829.10 is: 20,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,967.50 : 40,459.24 = 13,829.10 : x
  2. Step 2: Convert to fraction form
    26,967.50/40,459.24 = 13,829.10/x
  3. Step 3: Cross multiply
    26,967.50x = 40,459.24 × 13,829.10
  4. Step 4: Simplify right side
    26,967.50x = 559,514,875.88
  5. Step 5: Solve for x
    x = 559,514,875.88/26,967.50
  6. Step 6: Final answer
    x = 20,747.75

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1.5x scale

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.