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Finding the Fourth Proportional to 13,098.54, 19,647.84 and 10,785.18

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Solution

The fourth proportional to 13,098.54, 19,647.84 and 10,785.18 is: 16,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.54 : 19,647.84 = 10,785.18 : x
  2. Step 2: Convert to fraction form
    13,098.54/19,647.84 = 10,785.18/x
  3. Step 3: Cross multiply
    13,098.54x = 19,647.84 × 10,785.18
  4. Step 4: Simplify right side
    13,098.54x = 211,905,491.01
  5. Step 5: Solve for x
    x = 211,905,491.01/13,098.54
  6. Step 6: Final answer
    x = 16,177.79

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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.