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Finding the Fourth Proportional to 25,751.78, 35,534.52 and 14,419.70

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Solution

The fourth proportional to 25,751.78, 35,534.52 and 14,419.70 is: 19,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.78 : 35,534.52 = 14,419.70 : x
  2. Step 2: Convert to fraction form
    25,751.78/35,534.52 = 14,419.70/x
  3. Step 3: Cross multiply
    25,751.78x = 35,534.52 × 14,419.70
  4. Step 4: Simplify right side
    25,751.78x = 512,397,118.04
  5. Step 5: Solve for x
    x = 512,397,118.04/25,751.78
  6. Step 6: Final answer
    x = 19,897.54

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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.