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Finding the Fourth Proportional to 25,148.79, 37,723.03 and 6,428.80

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Solution

The fourth proportional to 25,148.79, 37,723.03 and 6,428.80 is: 9,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.79 : 37,723.03 = 6,428.80 : x
  2. Step 2: Convert to fraction form
    25,148.79/37,723.03 = 6,428.80/x
  3. Step 3: Cross multiply
    25,148.79x = 37,723.03 × 6,428.80
  4. Step 4: Simplify right side
    25,148.79x = 242,513,626.65
  5. Step 5: Solve for x
    x = 242,513,626.65/25,148.79
  6. Step 6: Final answer
    x = 9,643.15

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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.