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Finding the Fourth Proportional to 13,004.67, 19,506.99 and 5,218.95

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Solution

The fourth proportional to 13,004.67, 19,506.99 and 5,218.95 is: 7,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.67 : 19,506.99 = 5,218.95 : x
  2. Step 2: Convert to fraction form
    13,004.67/19,506.99 = 5,218.95/x
  3. Step 3: Cross multiply
    13,004.67x = 19,506.99 × 5,218.95
  4. Step 4: Simplify right side
    13,004.67x = 101,806,005.46
  5. Step 5: Solve for x
    x = 101,806,005.46/13,004.67
  6. Step 6: Final answer
    x = 7,828.42

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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.