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Finding the Fourth Proportional to 13,097.36, 19,648.20 and 5,311.52

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Solution

The fourth proportional to 13,097.36, 19,648.20 and 5,311.52 is: 7,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.36 : 19,648.20 = 5,311.52 : x
  2. Step 2: Convert to fraction form
    13,097.36/19,648.20 = 5,311.52/x
  3. Step 3: Cross multiply
    13,097.36x = 19,648.20 × 5,311.52
  4. Step 4: Simplify right side
    13,097.36x = 104,361,807.26
  5. Step 5: Solve for x
    x = 104,361,807.26/13,097.36
  6. Step 6: Final answer
    x = 7,968.16

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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.