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Finding the Fourth Proportional to 21,214, 29,275.32 and 11,783.44

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Solution

The fourth proportional to 21,214, 29,275.32 and 11,783.44 is: 16,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214 : 29,275.32 = 11,783.44 : x
  2. Step 2: Convert to fraction form
    21,214/29,275.32 = 11,783.44/x
  3. Step 3: Cross multiply
    21,214x = 29,275.32 × 11,783.44
  4. Step 4: Simplify right side
    21,214x = 344,963,976.70
  5. Step 5: Solve for x
    x = 344,963,976.70/21,214
  6. Step 6: Final answer
    x = 16,261.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.