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Finding the Fourth Proportional to 19,532.16, 29,191.02 and 14,278.23

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Solution

The fourth proportional to 19,532.16, 29,191.02 and 14,278.23 is: 21,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.16 : 29,191.02 = 14,278.23 : x
  2. Step 2: Convert to fraction form
    19,532.16/29,191.02 = 14,278.23/x
  3. Step 3: Cross multiply
    19,532.16x = 29,191.02 × 14,278.23
  4. Step 4: Simplify right side
    19,532.16x = 416,796,097.49
  5. Step 5: Solve for x
    x = 416,796,097.49/19,532.16
  6. Step 6: Final answer
    x = 21,338.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.