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Finding the Fourth Proportional to 13,098.36, 19,633.50 and 6,510.36

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Solution

The fourth proportional to 13,098.36, 19,633.50 and 6,510.36 is: 9,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.36 : 19,633.50 = 6,510.36 : x
  2. Step 2: Convert to fraction form
    13,098.36/19,633.50 = 6,510.36/x
  3. Step 3: Cross multiply
    13,098.36x = 19,633.50 × 6,510.36
  4. Step 4: Simplify right side
    13,098.36x = 127,821,153.06
  5. Step 5: Solve for x
    x = 127,821,153.06/13,098.36
  6. Step 6: Final answer
    x = 9,758.56

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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.