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Finding the Fourth Proportional to 21,577, 29,768.18 and 12,621.64

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Solution

The fourth proportional to 21,577, 29,768.18 and 12,621.64 is: 17,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577 : 29,768.18 = 12,621.64 : x
  2. Step 2: Convert to fraction form
    21,577/29,768.18 = 12,621.64/x
  3. Step 3: Cross multiply
    21,577x = 29,768.18 × 12,621.64
  4. Step 4: Simplify right side
    21,577x = 375,723,251.42
  5. Step 5: Solve for x
    x = 375,723,251.42/21,577
  6. Step 6: Final answer
    x = 17,413.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.