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Finding the Fourth Proportional to 21,178.55, 31,737.20 and 11,692.74

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Solution

The fourth proportional to 21,178.55, 31,737.20 and 11,692.74 is: 17,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.55 : 31,737.20 = 11,692.74 : x
  2. Step 2: Convert to fraction form
    21,178.55/31,737.20 = 11,692.74/x
  3. Step 3: Cross multiply
    21,178.55x = 31,737.20 × 11,692.74
  4. Step 4: Simplify right side
    21,178.55x = 371,094,827.93
  5. Step 5: Solve for x
    x = 371,094,827.93/21,178.55
  6. Step 6: Final answer
    x = 17,522.20

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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.