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Finding the Fourth Proportional to 22,776.72, 31,431.90 and 12,705.80

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Solution

The fourth proportional to 22,776.72, 31,431.90 and 12,705.80 is: 17,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.72 : 31,431.90 = 12,705.80 : x
  2. Step 2: Convert to fraction form
    22,776.72/31,431.90 = 12,705.80/x
  3. Step 3: Cross multiply
    22,776.72x = 31,431.90 × 12,705.80
  4. Step 4: Simplify right side
    22,776.72x = 399,367,435.02
  5. Step 5: Solve for x
    x = 399,367,435.02/22,776.72
  6. Step 6: Final answer
    x = 17,534.02

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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.