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Finding the Fourth Proportional to 23,017.79, 31,764.23 and 12,946.22

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Solution

The fourth proportional to 23,017.79, 31,764.23 and 12,946.22 is: 17,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,017.79 : 31,764.23 = 12,946.22 : x
  2. Step 2: Convert to fraction form
    23,017.79/31,764.23 = 12,946.22/x
  3. Step 3: Cross multiply
    23,017.79x = 31,764.23 × 12,946.22
  4. Step 4: Simplify right side
    23,017.79x = 411,226,805.30
  5. Step 5: Solve for x
    x = 411,226,805.30/23,017.79
  6. Step 6: Final answer
    x = 17,865.61

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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.