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Finding the Fourth Proportional to 13,097.49, 19,642.78 and 5,700.23

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Solution

The fourth proportional to 13,097.49, 19,642.78 and 5,700.23 is: 8,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.49 : 19,642.78 = 5,700.23 : x
  2. Step 2: Convert to fraction form
    13,097.49/19,642.78 = 5,700.23/x
  3. Step 3: Cross multiply
    13,097.49x = 19,642.78 × 5,700.23
  4. Step 4: Simplify right side
    13,097.49x = 111,968,363.84
  5. Step 5: Solve for x
    x = 111,968,363.84/13,097.49
  6. Step 6: Final answer
    x = 8,548.84

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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.