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Finding the Fourth Proportional to 13,079.96, 19,607.66 and 7,816.44

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Solution

The fourth proportional to 13,079.96, 19,607.66 and 7,816.44 is: 11,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,079.96 : 19,607.66 = 7,816.44 : x
  2. Step 2: Convert to fraction form
    13,079.96/19,607.66 = 7,816.44/x
  3. Step 3: Cross multiply
    13,079.96x = 19,607.66 × 7,816.44
  4. Step 4: Simplify right side
    13,079.96x = 153,262,097.93
  5. Step 5: Solve for x
    x = 153,262,097.93/13,079.96
  6. Step 6: Final answer
    x = 11,717.32

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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.