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Finding the Fourth Proportional to 21,220.84, 31,675.49 and 19,657

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Solution

The fourth proportional to 21,220.84, 31,675.49 and 19,657 is: 29,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.84 : 31,675.49 = 19,657 : x
  2. Step 2: Convert to fraction form
    21,220.84/31,675.49 = 19,657/x
  3. Step 3: Cross multiply
    21,220.84x = 31,675.49 × 19,657
  4. Step 4: Simplify right side
    21,220.84x = 622,645,106.93
  5. Step 5: Solve for x
    x = 622,645,106.93/21,220.84
  6. Step 6: Final answer
    x = 29,341.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.