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Finding the Fourth Proportional to 21,710, 29,959.84 and 11,774

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Solution

The fourth proportional to 21,710, 29,959.84 and 11,774 is: 16,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710 : 29,959.84 = 11,774 : x
  2. Step 2: Convert to fraction form
    21,710/29,959.84 = 11,774/x
  3. Step 3: Cross multiply
    21,710x = 29,959.84 × 11,774
  4. Step 4: Simplify right side
    21,710x = 352,747,156.16
  5. Step 5: Solve for x
    x = 352,747,156.16/21,710
  6. Step 6: Final answer
    x = 16,248.14

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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.