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Finding the Fourth Proportional to 25,266.90, 37,900.47 and 6,545.62

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Solution

The fourth proportional to 25,266.90, 37,900.47 and 6,545.62 is: 9,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,266.90 : 37,900.47 = 6,545.62 : x
  2. Step 2: Convert to fraction form
    25,266.90/37,900.47 = 6,545.62/x
  3. Step 3: Cross multiply
    25,266.90x = 37,900.47 × 6,545.62
  4. Step 4: Simplify right side
    25,266.90x = 248,082,074.44
  5. Step 5: Solve for x
    x = 248,082,074.44/25,266.90
  6. Step 6: Final answer
    x = 9,818.46

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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.