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Finding the Fourth Proportional to 22,807.84, 34,212.72 and 7,225.12

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Solution

The fourth proportional to 22,807.84, 34,212.72 and 7,225.12 is: 10,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.84 : 34,212.72 = 7,225.12 : x
  2. Step 2: Convert to fraction form
    22,807.84/34,212.72 = 7,225.12/x
  3. Step 3: Cross multiply
    22,807.84x = 34,212.72 × 7,225.12
  4. Step 4: Simplify right side
    22,807.84x = 247,191,007.53
  5. Step 5: Solve for x
    x = 247,191,007.53/22,807.84
  6. Step 6: Final answer
    x = 10,837.98

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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.