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Finding the Fourth Proportional to 21,301.74, 29,347.38 and 16,823.88

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Solution

The fourth proportional to 21,301.74, 29,347.38 and 16,823.88 is: 23,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301.74 : 29,347.38 = 16,823.88 : x
  2. Step 2: Convert to fraction form
    21,301.74/29,347.38 = 16,823.88/x
  3. Step 3: Cross multiply
    21,301.74x = 29,347.38 × 16,823.88
  4. Step 4: Simplify right side
    21,301.74x = 493,736,799.43
  5. Step 5: Solve for x
    x = 493,736,799.43/21,301.74
  6. Step 6: Final answer
    x = 23,178.24

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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.