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Finding the Fourth Proportional to 25,145.65, 37,717.84 and 6,425.74

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Solution

The fourth proportional to 25,145.65, 37,717.84 and 6,425.74 is: 9,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.65 : 37,717.84 = 6,425.74 : x
  2. Step 2: Convert to fraction form
    25,145.65/37,717.84 = 6,425.74/x
  3. Step 3: Cross multiply
    25,145.65x = 37,717.84 × 6,425.74
  4. Step 4: Simplify right side
    25,145.65x = 242,365,033.20
  5. Step 5: Solve for x
    x = 242,365,033.20/25,145.65
  6. Step 6: Final answer
    x = 9,638.45

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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.