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Finding the Fourth Proportional to 22,800.19, 34,192.09 and 9,653.49

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Solution

The fourth proportional to 22,800.19, 34,192.09 and 9,653.49 is: 14,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.19 : 34,192.09 = 9,653.49 : x
  2. Step 2: Convert to fraction form
    22,800.19/34,192.09 = 9,653.49/x
  3. Step 3: Cross multiply
    22,800.19x = 34,192.09 × 9,653.49
  4. Step 4: Simplify right side
    22,800.19x = 330,072,998.89
  5. Step 5: Solve for x
    x = 330,072,998.89/22,800.19
  6. Step 6: Final answer
    x = 14,476.77

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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.