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Finding the Fourth Proportional to 19,670.31, 29,470.48 and 11,333.10

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Solution

The fourth proportional to 19,670.31, 29,470.48 and 11,333.10 is: 16,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.31 : 29,470.48 = 11,333.10 : x
  2. Step 2: Convert to fraction form
    19,670.31/29,470.48 = 11,333.10/x
  3. Step 3: Cross multiply
    19,670.31x = 29,470.48 × 11,333.10
  4. Step 4: Simplify right side
    19,670.31x = 333,992,042.82
  5. Step 5: Solve for x
    x = 333,992,042.82/19,670.31
  6. Step 6: Final answer
    x = 16,979.50

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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.