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Finding the Fourth Proportional to 25,734.09, 35,510.06 and 14,404.22

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Solution

The fourth proportional to 25,734.09, 35,510.06 and 14,404.22 is: 19,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734.09 : 35,510.06 = 14,404.22 : x
  2. Step 2: Convert to fraction form
    25,734.09/35,510.06 = 14,404.22/x
  3. Step 3: Cross multiply
    25,734.09x = 35,510.06 × 14,404.22
  4. Step 4: Simplify right side
    25,734.09x = 511,494,716.45
  5. Step 5: Solve for x
    x = 511,494,716.45/25,734.09
  6. Step 6: Final answer
    x = 19,876.15

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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.