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Finding the Fourth Proportional to 24,701.56, 37,058.58 and 7,171

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Solution

The fourth proportional to 24,701.56, 37,058.58 and 7,171 is: 10,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.56 : 37,058.58 = 7,171 : x
  2. Step 2: Convert to fraction form
    24,701.56/37,058.58 = 7,171/x
  3. Step 3: Cross multiply
    24,701.56x = 37,058.58 × 7,171
  4. Step 4: Simplify right side
    24,701.56x = 265,747,077.18
  5. Step 5: Solve for x
    x = 265,747,077.18/24,701.56
  6. Step 6: Final answer
    x = 10,758.31

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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.