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Finding the Fourth Proportional to 25,106.44, 37,620.76 and 15,853

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Solution

The fourth proportional to 25,106.44, 37,620.76 and 15,853 is: 23,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106.44 : 37,620.76 = 15,853 : x
  2. Step 2: Convert to fraction form
    25,106.44/37,620.76 = 15,853/x
  3. Step 3: Cross multiply
    25,106.44x = 37,620.76 × 15,853
  4. Step 4: Simplify right side
    25,106.44x = 596,401,908.28
  5. Step 5: Solve for x
    x = 596,401,908.28/25,106.44
  6. Step 6: Final answer
    x = 23,754.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.