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Finding the Fourth Proportional to 25,145.84, 37,722.80 and 7,614.20

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Solution

The fourth proportional to 25,145.84, 37,722.80 and 7,614.20 is: 11,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.84 : 37,722.80 = 7,614.20 : x
  2. Step 2: Convert to fraction form
    25,145.84/37,722.80 = 7,614.20/x
  3. Step 3: Cross multiply
    25,145.84x = 37,722.80 × 7,614.20
  4. Step 4: Simplify right side
    25,145.84x = 287,228,943.76
  5. Step 5: Solve for x
    x = 287,228,943.76/25,145.84
  6. Step 6: Final answer
    x = 11,422.52

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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.