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Finding the Fourth Proportional to 21,177.72, 31,762.80 and 12,403.80

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Solution

The fourth proportional to 21,177.72, 31,762.80 and 12,403.80 is: 18,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.72 : 31,762.80 = 12,403.80 : x
  2. Step 2: Convert to fraction form
    21,177.72/31,762.80 = 12,403.80/x
  3. Step 3: Cross multiply
    21,177.72x = 31,762.80 × 12,403.80
  4. Step 4: Simplify right side
    21,177.72x = 393,979,418.64
  5. Step 5: Solve for x
    x = 393,979,418.64/21,177.72
  6. Step 6: Final answer
    x = 18,603.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.