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Finding the Fourth Proportional to 21,221.10, 31,954.95 and 15,713.46

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Solution

The fourth proportional to 21,221.10, 31,954.95 and 15,713.46 is: 23,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.10 : 31,954.95 = 15,713.46 : x
  2. Step 2: Convert to fraction form
    21,221.10/31,954.95 = 15,713.46/x
  3. Step 3: Cross multiply
    21,221.10x = 31,954.95 × 15,713.46
  4. Step 4: Simplify right side
    21,221.10x = 502,122,828.63
  5. Step 5: Solve for x
    x = 502,122,828.63/21,221.10
  6. Step 6: Final answer
    x = 23,661.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.