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Finding the Fourth Proportional to 13,390.17, 20,097.60 and 6,821.25

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Solution

The fourth proportional to 13,390.17, 20,097.60 and 6,821.25 is: 10,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.17 : 20,097.60 = 6,821.25 : x
  2. Step 2: Convert to fraction form
    13,390.17/20,097.60 = 6,821.25/x
  3. Step 3: Cross multiply
    13,390.17x = 20,097.60 × 6,821.25
  4. Step 4: Simplify right side
    13,390.17x = 137,090,754
  5. Step 5: Solve for x
    x = 137,090,754/13,390.17
  6. Step 6: Final answer
    x = 10,238.16

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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.