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Finding the Fourth Proportional to 14,906, 22,366.20 and 5,678.48

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Solution

The fourth proportional to 14,906, 22,366.20 and 5,678.48 is: 8,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906 : 22,366.20 = 5,678.48 : x
  2. Step 2: Convert to fraction form
    14,906/22,366.20 = 5,678.48/x
  3. Step 3: Cross multiply
    14,906x = 22,366.20 × 5,678.48
  4. Step 4: Simplify right side
    14,906x = 127,006,019.38
  5. Step 5: Solve for x
    x = 127,006,019.38/14,906
  6. Step 6: Final answer
    x = 8,520.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.