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Finding the Fourth Proportional to 25,635.20, 35,376.53 and 14,304

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Solution

The fourth proportional to 25,635.20, 35,376.53 and 14,304 is: 19,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,635.20 : 35,376.53 = 14,304 : x
  2. Step 2: Convert to fraction form
    25,635.20/35,376.53 = 14,304/x
  3. Step 3: Cross multiply
    25,635.20x = 35,376.53 × 14,304
  4. Step 4: Simplify right side
    25,635.20x = 506,025,813.60
  5. Step 5: Solve for x
    x = 506,025,813.60/25,635.20
  6. Step 6: Final answer
    x = 19,739.50

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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.