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Finding the Fourth Proportional to 25,571.04, 35,287.08 and 14,241

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Solution

The fourth proportional to 25,571.04, 35,287.08 and 14,241 is: 19,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571.04 : 35,287.08 = 14,241 : x
  2. Step 2: Convert to fraction form
    25,571.04/35,287.08 = 14,241/x
  3. Step 3: Cross multiply
    25,571.04x = 35,287.08 × 14,241
  4. Step 4: Simplify right side
    25,571.04x = 502,523,306.28
  5. Step 5: Solve for x
    x = 502,523,306.28/25,571.04
  6. Step 6: Final answer
    x = 19,652.05

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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.