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Finding the Fourth Proportional to 23,014.57, 31,761.26 and 12,946.18

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Solution

The fourth proportional to 23,014.57, 31,761.26 and 12,946.18 is: 17,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.57 : 31,761.26 = 12,946.18 : x
  2. Step 2: Convert to fraction form
    23,014.57/31,761.26 = 12,946.18/x
  3. Step 3: Cross multiply
    23,014.57x = 31,761.26 × 12,946.18
  4. Step 4: Simplify right side
    23,014.57x = 411,186,988.99
  5. Step 5: Solve for x
    x = 411,186,988.99/23,014.57
  6. Step 6: Final answer
    x = 17,866.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.