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Finding the Fourth Proportional to 26,006.64, 38,978.16 and 11,184.24

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Solution

The fourth proportional to 26,006.64, 38,978.16 and 11,184.24 is: 16,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.64 : 38,978.16 = 11,184.24 : x
  2. Step 2: Convert to fraction form
    26,006.64/38,978.16 = 11,184.24/x
  3. Step 3: Cross multiply
    26,006.64x = 38,978.16 × 11,184.24
  4. Step 4: Simplify right side
    26,006.64x = 435,941,096.20
  5. Step 5: Solve for x
    x = 435,941,096.20/26,006.64
  6. Step 6: Final answer
    x = 16,762.68

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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.