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Finding the Fourth Proportional to 25,465.25, 35,144.75 and 14,287.25

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Solution

The fourth proportional to 25,465.25, 35,144.75 and 14,287.25 is: 19,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.25 : 35,144.75 = 14,287.25 : x
  2. Step 2: Convert to fraction form
    25,465.25/35,144.75 = 14,287.25/x
  3. Step 3: Cross multiply
    25,465.25x = 35,144.75 × 14,287.25
  4. Step 4: Simplify right side
    25,465.25x = 502,121,758.00
  5. Step 5: Solve for x
    x = 502,121,758.00/25,465.25
  6. Step 6: Final answer
    x = 19,717.92

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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.