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Finding the Fourth Proportional to 21,490.13, 29,655.90 and 11,929.46

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Solution

The fourth proportional to 21,490.13, 29,655.90 and 11,929.46 is: 16,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.13 : 29,655.90 = 11,929.46 : x
  2. Step 2: Convert to fraction form
    21,490.13/29,655.90 = 11,929.46/x
  3. Step 3: Cross multiply
    21,490.13x = 29,655.90 × 11,929.46
  4. Step 4: Simplify right side
    21,490.13x = 353,778,724.53
  5. Step 5: Solve for x
    x = 353,778,724.53/21,490.13
  6. Step 6: Final answer
    x = 16,462.38

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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.