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Finding the Fourth Proportional to 24,695.40, 36,853.14 and 22,071

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Solution

The fourth proportional to 24,695.40, 36,853.14 and 22,071 is: 32,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695.40 : 36,853.14 = 22,071 : x
  2. Step 2: Convert to fraction form
    24,695.40/36,853.14 = 22,071/x
  3. Step 3: Cross multiply
    24,695.40x = 36,853.14 × 22,071
  4. Step 4: Simplify right side
    24,695.40x = 813,385,652.94
  5. Step 5: Solve for x
    x = 813,385,652.94/24,695.40
  6. Step 6: Final answer
    x = 32,936.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.