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Finding the Fourth Proportional to 13,208.32, 19,806.02 and 6,537.12

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Solution

The fourth proportional to 13,208.32, 19,806.02 and 6,537.12 is: 9,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.32 : 19,806.02 = 6,537.12 : x
  2. Step 2: Convert to fraction form
    13,208.32/19,806.02 = 6,537.12/x
  3. Step 3: Cross multiply
    13,208.32x = 19,806.02 × 6,537.12
  4. Step 4: Simplify right side
    13,208.32x = 129,474,197.75
  5. Step 5: Solve for x
    x = 129,474,197.75/13,208.32
  6. Step 6: Final answer
    x = 9,802.47

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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.