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Finding the Fourth Proportional to 12,834.52, 19,253 and 5,041.52

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Solution

The fourth proportional to 12,834.52, 19,253 and 5,041.52 is: 7,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.52 : 19,253 = 5,041.52 : x
  2. Step 2: Convert to fraction form
    12,834.52/19,253 = 5,041.52/x
  3. Step 3: Cross multiply
    12,834.52x = 19,253 × 5,041.52
  4. Step 4: Simplify right side
    12,834.52x = 97,064,384.56
  5. Step 5: Solve for x
    x = 97,064,384.56/12,834.52
  6. Step 6: Final answer
    x = 7,562.76

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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.