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Finding the Fourth Proportional to 22,753.81, 31,400.40 and 12,682.89

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Solution

The fourth proportional to 22,753.81, 31,400.40 and 12,682.89 is: 17,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.81 : 31,400.40 = 12,682.89 : x
  2. Step 2: Convert to fraction form
    22,753.81/31,400.40 = 12,682.89/x
  3. Step 3: Cross multiply
    22,753.81x = 31,400.40 × 12,682.89
  4. Step 4: Simplify right side
    22,753.81x = 398,247,598.74
  5. Step 5: Solve for x
    x = 398,247,598.74/22,753.81
  6. Step 6: Final answer
    x = 17,502.46

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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.