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Finding the Fourth Proportional to 22,808.24, 31,474.80 and 12,737.60

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Solution

The fourth proportional to 22,808.24, 31,474.80 and 12,737.60 is: 17,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808.24 : 31,474.80 = 12,737.60 : x
  2. Step 2: Convert to fraction form
    22,808.24/31,474.80 = 12,737.60/x
  3. Step 3: Cross multiply
    22,808.24x = 31,474.80 × 12,737.60
  4. Step 4: Simplify right side
    22,808.24x = 400,913,255.11
  5. Step 5: Solve for x
    x = 400,913,255.11/22,808.24
  6. Step 6: Final answer
    x = 17,577.57

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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.