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Finding the Fourth Proportional to 25,012.76, 37,519.14 and 10,219.10

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Solution

The fourth proportional to 25,012.76, 37,519.14 and 10,219.10 is: 15,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,012.76 : 37,519.14 = 10,219.10 : x
  2. Step 2: Convert to fraction form
    25,012.76/37,519.14 = 10,219.10/x
  3. Step 3: Cross multiply
    25,012.76x = 37,519.14 × 10,219.10
  4. Step 4: Simplify right side
    25,012.76x = 383,411,843.57
  5. Step 5: Solve for x
    x = 383,411,843.57/25,012.76
  6. Step 6: Final answer
    x = 15,328.65

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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.