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Finding the Fourth Proportional to 22,727.79, 34,097.06 and 7,145.42

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Solution

The fourth proportional to 22,727.79, 34,097.06 and 7,145.42 is: 10,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.79 : 34,097.06 = 7,145.42 : x
  2. Step 2: Convert to fraction form
    22,727.79/34,097.06 = 7,145.42/x
  3. Step 3: Cross multiply
    22,727.79x = 34,097.06 × 7,145.42
  4. Step 4: Simplify right side
    22,727.79x = 243,637,672.18
  5. Step 5: Solve for x
    x = 243,637,672.18/22,727.79
  6. Step 6: Final answer
    x = 10,719.81

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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.