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Finding the Fourth Proportional to 13,798.46, 19,046.07 and 8,132.82

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Solution

The fourth proportional to 13,798.46, 19,046.07 and 8,132.82 is: 11,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.46 : 19,046.07 = 8,132.82 : x
  2. Step 2: Convert to fraction form
    13,798.46/19,046.07 = 8,132.82/x
  3. Step 3: Cross multiply
    13,798.46x = 19,046.07 × 8,132.82
  4. Step 4: Simplify right side
    13,798.46x = 154,898,187.59
  5. Step 5: Solve for x
    x = 154,898,187.59/13,798.46
  6. Step 6: Final answer
    x = 11,225.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.