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Finding the Fourth Proportional to 14,223, 19,627.80 and 7,935.84

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Solution

The fourth proportional to 14,223, 19,627.80 and 7,935.84 is: 10,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223 : 19,627.80 = 7,935.84 : x
  2. Step 2: Convert to fraction form
    14,223/19,627.80 = 7,935.84/x
  3. Step 3: Cross multiply
    14,223x = 19,627.80 × 7,935.84
  4. Step 4: Simplify right side
    14,223x = 155,763,080.35
  5. Step 5: Solve for x
    x = 155,763,080.35/14,223
  6. Step 6: Final answer
    x = 10,951.49

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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.