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Finding the Fourth Proportional to 13,262.68, 19,894.20 and 5,368.96

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Solution

The fourth proportional to 13,262.68, 19,894.20 and 5,368.96 is: 8,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.68 : 19,894.20 = 5,368.96 : x
  2. Step 2: Convert to fraction form
    13,262.68/19,894.20 = 5,368.96/x
  3. Step 3: Cross multiply
    13,262.68x = 19,894.20 × 5,368.96
  4. Step 4: Simplify right side
    13,262.68x = 106,811,164.03
  5. Step 5: Solve for x
    x = 106,811,164.03/13,262.68
  6. Step 6: Final answer
    x = 8,053.51

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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.