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Finding the Fourth Proportional to 23,011.62, 31,755 and 12,941.70

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Solution

The fourth proportional to 23,011.62, 31,755 and 12,941.70 is: 17,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.62 : 31,755 = 12,941.70 : x
  2. Step 2: Convert to fraction form
    23,011.62/31,755 = 12,941.70/x
  3. Step 3: Cross multiply
    23,011.62x = 31,755 × 12,941.70
  4. Step 4: Simplify right side
    23,011.62x = 410,963,683.50
  5. Step 5: Solve for x
    x = 410,963,683.50/23,011.62
  6. Step 6: Final answer
    x = 17,858.96

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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.