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Finding the Fourth Proportional to 22,315.16, 30,794.72 and 12,106.16

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Solution

The fourth proportional to 22,315.16, 30,794.72 and 12,106.16 is: 16,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.16 : 30,794.72 = 12,106.16 : x
  2. Step 2: Convert to fraction form
    22,315.16/30,794.72 = 12,106.16/x
  3. Step 3: Cross multiply
    22,315.16x = 30,794.72 × 12,106.16
  4. Step 4: Simplify right side
    22,315.16x = 372,805,807.48
  5. Step 5: Solve for x
    x = 372,805,807.48/22,315.16
  6. Step 6: Final answer
    x = 16,706.39

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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.