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Finding the Fourth Proportional to 22,756.50, 31,403.66 and 12,685.77

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Solution

The fourth proportional to 22,756.50, 31,403.66 and 12,685.77 is: 17,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.50 : 31,403.66 = 12,685.77 : x
  2. Step 2: Convert to fraction form
    22,756.50/31,403.66 = 12,685.77/x
  3. Step 3: Cross multiply
    22,756.50x = 31,403.66 × 12,685.77
  4. Step 4: Simplify right side
    22,756.50x = 398,379,544.49
  5. Step 5: Solve for x
    x = 398,379,544.49/22,756.50
  6. Step 6: Final answer
    x = 17,506.19

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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.