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Finding the Fourth Proportional to 13,097.84, 19,646.97 and 7,291.36

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Solution

The fourth proportional to 13,097.84, 19,646.97 and 7,291.36 is: 10,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.84 : 19,646.97 = 7,291.36 : x
  2. Step 2: Convert to fraction form
    13,097.84/19,646.97 = 7,291.36/x
  3. Step 3: Cross multiply
    13,097.84x = 19,646.97 × 7,291.36
  4. Step 4: Simplify right side
    13,097.84x = 143,253,082.06
  5. Step 5: Solve for x
    x = 143,253,082.06/13,097.84
  6. Step 6: Final answer
    x = 10,937.15

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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.