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Finding the Fourth Proportional to 21,477.80, 29,641.38 and 12,524.60

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Solution

The fourth proportional to 21,477.80, 29,641.38 and 12,524.60 is: 17,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.80 : 29,641.38 = 12,524.60 : x
  2. Step 2: Convert to fraction form
    21,477.80/29,641.38 = 12,524.60/x
  3. Step 3: Cross multiply
    21,477.80x = 29,641.38 × 12,524.60
  4. Step 4: Simplify right side
    21,477.80x = 371,246,427.95
  5. Step 5: Solve for x
    x = 371,246,427.95/21,477.80
  6. Step 6: Final answer
    x = 17,285.12

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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.