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Finding the Fourth Proportional to 15,897.73, 21,938.65 and 8,824

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Solution

The fourth proportional to 15,897.73, 21,938.65 and 8,824 is: 12,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.73 : 21,938.65 = 8,824 : x
  2. Step 2: Convert to fraction form
    15,897.73/21,938.65 = 8,824/x
  3. Step 3: Cross multiply
    15,897.73x = 21,938.65 × 8,824
  4. Step 4: Simplify right side
    15,897.73x = 193,586,647.60
  5. Step 5: Solve for x
    x = 193,586,647.60/15,897.73
  6. Step 6: Final answer
    x = 12,177.00

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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.