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Finding the Fourth Proportional to 21,653.90, 29,871.38 and 13,153.76

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Solution

The fourth proportional to 21,653.90, 29,871.38 and 13,153.76 is: 18,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.90 : 29,871.38 = 13,153.76 : x
  2. Step 2: Convert to fraction form
    21,653.90/29,871.38 = 13,153.76/x
  3. Step 3: Cross multiply
    21,653.90x = 29,871.38 × 13,153.76
  4. Step 4: Simplify right side
    21,653.90x = 392,920,963.39
  5. Step 5: Solve for x
    x = 392,920,963.39/21,653.90
  6. Step 6: Final answer
    x = 18,145.51

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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.