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Finding the Fourth Proportional to 25,577.98, 38,360.90 and 9,777.21

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Solution

The fourth proportional to 25,577.98, 38,360.90 and 9,777.21 is: 14,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577.98 : 38,360.90 = 9,777.21 : x
  2. Step 2: Convert to fraction form
    25,577.98/38,360.90 = 9,777.21/x
  3. Step 3: Cross multiply
    25,577.98x = 38,360.90 × 9,777.21
  4. Step 4: Simplify right side
    25,577.98x = 375,062,575.09
  5. Step 5: Solve for x
    x = 375,062,575.09/25,577.98
  6. Step 6: Final answer
    x = 14,663.49

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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.