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Finding the Fourth Proportional to 25,514.72, 38,272.80 and 7,046.72

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Solution

The fourth proportional to 25,514.72, 38,272.80 and 7,046.72 is: 10,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.72 : 38,272.80 = 7,046.72 : x
  2. Step 2: Convert to fraction form
    25,514.72/38,272.80 = 7,046.72/x
  3. Step 3: Cross multiply
    25,514.72x = 38,272.80 × 7,046.72
  4. Step 4: Simplify right side
    25,514.72x = 269,697,705.22
  5. Step 5: Solve for x
    x = 269,697,705.22/25,514.72
  6. Step 6: Final answer
    x = 10,570.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.