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Finding the Fourth Proportional to 21,293.17, 31,884.35 and 11,384

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Solution

The fourth proportional to 21,293.17, 31,884.35 and 11,384 is: 17,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,293.17 : 31,884.35 = 11,384 : x
  2. Step 2: Convert to fraction form
    21,293.17/31,884.35 = 11,384/x
  3. Step 3: Cross multiply
    21,293.17x = 31,884.35 × 11,384
  4. Step 4: Simplify right side
    21,293.17x = 362,971,440.40
  5. Step 5: Solve for x
    x = 362,971,440.40/21,293.17
  6. Step 6: Final answer
    x = 17,046.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.