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Finding the Fourth Proportional to 25,491.60, 38,238.16 and 12,166.00

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Solution

The fourth proportional to 25,491.60, 38,238.16 and 12,166.00 is: 18,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,491.60 : 38,238.16 = 12,166.00 : x
  2. Step 2: Convert to fraction form
    25,491.60/38,238.16 = 12,166.00/x
  3. Step 3: Cross multiply
    25,491.60x = 38,238.16 × 12,166.00
  4. Step 4: Simplify right side
    25,491.60x = 465,205,386.19
  5. Step 5: Solve for x
    x = 465,205,386.19/25,491.60
  6. Step 6: Final answer
    x = 18,249.36

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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.