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Finding the Fourth Proportional to 22,778.26, 31,434.05 and 12,706.45

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Solution

The fourth proportional to 22,778.26, 31,434.05 and 12,706.45 is: 17,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.26 : 31,434.05 = 12,706.45 : x
  2. Step 2: Convert to fraction form
    22,778.26/31,434.05 = 12,706.45/x
  3. Step 3: Cross multiply
    22,778.26x = 31,434.05 × 12,706.45
  4. Step 4: Simplify right side
    22,778.26x = 399,415,184.62
  5. Step 5: Solve for x
    x = 399,415,184.62/22,778.26
  6. Step 6: Final answer
    x = 17,534.93

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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.