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Finding the Fourth Proportional to 21,577.78, 29,777.34 and 12,146.56

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Solution

The fourth proportional to 21,577.78, 29,777.34 and 12,146.56 is: 16,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.78 : 29,777.34 = 12,146.56 : x
  2. Step 2: Convert to fraction form
    21,577.78/29,777.34 = 12,146.56/x
  3. Step 3: Cross multiply
    21,577.78x = 29,777.34 × 12,146.56
  4. Step 4: Simplify right side
    21,577.78x = 361,692,246.95
  5. Step 5: Solve for x
    x = 361,692,246.95/21,577.78
  6. Step 6: Final answer
    x = 16,762.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.