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Finding the Fourth Proportional to 21,120.84, 29,146.48 and 12,737.34

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Solution

The fourth proportional to 21,120.84, 29,146.48 and 12,737.34 is: 17,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.84 : 29,146.48 = 12,737.34 : x
  2. Step 2: Convert to fraction form
    21,120.84/29,146.48 = 12,737.34/x
  3. Step 3: Cross multiply
    21,120.84x = 29,146.48 × 12,737.34
  4. Step 4: Simplify right side
    21,120.84x = 371,248,625.56
  5. Step 5: Solve for x
    x = 371,248,625.56/21,120.84
  6. Step 6: Final answer
    x = 17,577.36

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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.