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Finding the Fourth Proportional to 26,164.28, 39,256.85 and 9,525.47

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Solution

The fourth proportional to 26,164.28, 39,256.85 and 9,525.47 is: 14,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.28 : 39,256.85 = 9,525.47 : x
  2. Step 2: Convert to fraction form
    26,164.28/39,256.85 = 9,525.47/x
  3. Step 3: Cross multiply
    26,164.28x = 39,256.85 × 9,525.47
  4. Step 4: Simplify right side
    26,164.28x = 373,939,774.50
  5. Step 5: Solve for x
    x = 373,939,774.50/26,164.28
  6. Step 6: Final answer
    x = 14,291.99

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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.