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Finding the Fourth Proportional to 25,444, 35,112.72 and 14,266

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Solution

The fourth proportional to 25,444, 35,112.72 and 14,266 is: 19,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444 : 35,112.72 = 14,266 : x
  2. Step 2: Convert to fraction form
    25,444/35,112.72 = 14,266/x
  3. Step 3: Cross multiply
    25,444x = 35,112.72 × 14,266
  4. Step 4: Simplify right side
    25,444x = 500,918,063.52
  5. Step 5: Solve for x
    x = 500,918,063.52/25,444
  6. Step 6: Final answer
    x = 19,687.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.