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Finding the Fourth Proportional to 21,274.61, 29,337.19 and 14,102.03

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Solution

The fourth proportional to 21,274.61, 29,337.19 and 14,102.03 is: 19,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.61 : 29,337.19 = 14,102.03 : x
  2. Step 2: Convert to fraction form
    21,274.61/29,337.19 = 14,102.03/x
  3. Step 3: Cross multiply
    21,274.61x = 29,337.19 × 14,102.03
  4. Step 4: Simplify right side
    21,274.61x = 413,713,971.58
  5. Step 5: Solve for x
    x = 413,713,971.58/21,274.61
  6. Step 6: Final answer
    x = 19,446.38

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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.