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Finding the Fourth Proportional to 25,435.32, 35,097.90 and 14,257.08

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Solution

The fourth proportional to 25,435.32, 35,097.90 and 14,257.08 is: 19,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.32 : 35,097.90 = 14,257.08 : x
  2. Step 2: Convert to fraction form
    25,435.32/35,097.90 = 14,257.08/x
  3. Step 3: Cross multiply
    25,435.32x = 35,097.90 × 14,257.08
  4. Step 4: Simplify right side
    25,435.32x = 500,393,568.13
  5. Step 5: Solve for x
    x = 500,393,568.13/25,435.32
  6. Step 6: Final answer
    x = 19,673.18

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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.