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Finding the Fourth Proportional to 24,827.97, 37,221 and 10,777.40

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Solution

The fourth proportional to 24,827.97, 37,221 and 10,777.40 is: 16,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.97 : 37,221 = 10,777.40 : x
  2. Step 2: Convert to fraction form
    24,827.97/37,221 = 10,777.40/x
  3. Step 3: Cross multiply
    24,827.97x = 37,221 × 10,777.40
  4. Step 4: Simplify right side
    24,827.97x = 401,145,419.30
  5. Step 5: Solve for x
    x = 401,145,419.30/24,827.97
  6. Step 6: Final answer
    x = 16,157.00

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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.