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Finding the Fourth Proportional to 21,743.76, 30,006.38 and 11,807.76

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Solution

The fourth proportional to 21,743.76, 30,006.38 and 11,807.76 is: 16,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,743.76 : 30,006.38 = 11,807.76 : x
  2. Step 2: Convert to fraction form
    21,743.76/30,006.38 = 11,807.76/x
  3. Step 3: Cross multiply
    21,743.76x = 30,006.38 × 11,807.76
  4. Step 4: Simplify right side
    21,743.76x = 354,308,133.51
  5. Step 5: Solve for x
    x = 354,308,133.51/21,743.76
  6. Step 6: Final answer
    x = 16,294.70

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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.