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Finding the Fourth Proportional to 22,523.76, 33,700.80 and 13,827.72

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Solution

The fourth proportional to 22,523.76, 33,700.80 and 13,827.72 is: 20,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.76 : 33,700.80 = 13,827.72 : x
  2. Step 2: Convert to fraction form
    22,523.76/33,700.80 = 13,827.72/x
  3. Step 3: Cross multiply
    22,523.76x = 33,700.80 × 13,827.72
  4. Step 4: Simplify right side
    22,523.76x = 466,005,226.18
  5. Step 5: Solve for x
    x = 466,005,226.18/22,523.76
  6. Step 6: Final answer
    x = 20,689.50

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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.