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Finding the Fourth Proportional to 25,972.64, 35,839.68 and 15,904

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Solution

The fourth proportional to 25,972.64, 35,839.68 and 15,904 is: 21,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972.64 : 35,839.68 = 15,904 : x
  2. Step 2: Convert to fraction form
    25,972.64/35,839.68 = 15,904/x
  3. Step 3: Cross multiply
    25,972.64x = 35,839.68 × 15,904
  4. Step 4: Simplify right side
    25,972.64x = 569,994,270.72
  5. Step 5: Solve for x
    x = 569,994,270.72/25,972.64
  6. Step 6: Final answer
    x = 21,945.95

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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.