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Finding the Fourth Proportional to 22,049.84, 30,428.70 and 12,618.38

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Solution

The fourth proportional to 22,049.84, 30,428.70 and 12,618.38 is: 17,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.84 : 30,428.70 = 12,618.38 : x
  2. Step 2: Convert to fraction form
    22,049.84/30,428.70 = 12,618.38/x
  3. Step 3: Cross multiply
    22,049.84x = 30,428.70 × 12,618.38
  4. Step 4: Simplify right side
    22,049.84x = 383,960,899.51
  5. Step 5: Solve for x
    x = 383,960,899.51/22,049.84
  6. Step 6: Final answer
    x = 17,413.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.