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Finding the Fourth Proportional to 21,214.77, 29,275.56 and 11,783.94

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Solution

The fourth proportional to 21,214.77, 29,275.56 and 11,783.94 is: 16,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.77 : 29,275.56 = 11,783.94 : x
  2. Step 2: Convert to fraction form
    21,214.77/29,275.56 = 11,783.94/x
  3. Step 3: Cross multiply
    21,214.77x = 29,275.56 × 11,783.94
  4. Step 4: Simplify right side
    21,214.77x = 344,981,442.51
  5. Step 5: Solve for x
    x = 344,981,442.51/21,214.77
  6. Step 6: Final answer
    x = 16,261.38

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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.