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Finding the Fourth Proportional to 39,454, 59,191.26 and 11,752

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Solution

The fourth proportional to 39,454, 59,191.26 and 11,752 is: 17,631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,454 : 59,191.26 = 11,752 : x
  2. Step 2: Convert to fraction form
    39,454/59,191.26 = 11,752/x
  3. Step 3: Cross multiply
    39,454x = 59,191.26 × 11,752
  4. Step 4: Simplify right side
    39,454x = 695,615,687.52
  5. Step 5: Solve for x
    x = 695,615,687.52/39,454
  6. Step 6: Final answer
    x = 17,631.06

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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.