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Finding the Fourth Proportional to 25,966.13, 38,955.67 and 7,498.13

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Solution

The fourth proportional to 25,966.13, 38,955.67 and 7,498.13 is: 11,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966.13 : 38,955.67 = 7,498.13 : x
  2. Step 2: Convert to fraction form
    25,966.13/38,955.67 = 7,498.13/x
  3. Step 3: Cross multiply
    25,966.13x = 38,955.67 × 7,498.13
  4. Step 4: Simplify right side
    25,966.13x = 292,094,464.37
  5. Step 5: Solve for x
    x = 292,094,464.37/25,966.13
  6. Step 6: Final answer
    x = 11,249.06

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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.