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Finding the Fourth Proportional to 13,301.50, 19,952.28 and 5,510.50

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Solution

The fourth proportional to 13,301.50, 19,952.28 and 5,510.50 is: 8,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.50 : 19,952.28 = 5,510.50 : x
  2. Step 2: Convert to fraction form
    13,301.50/19,952.28 = 5,510.50/x
  3. Step 3: Cross multiply
    13,301.50x = 19,952.28 × 5,510.50
  4. Step 4: Simplify right side
    13,301.50x = 109,947,038.94
  5. Step 5: Solve for x
    x = 109,947,038.94/13,301.50
  6. Step 6: Final answer
    x = 8,265.76

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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.