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Finding the Fourth Proportional to 23,019.96, 31,758.56 and 12,946.10

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Solution

The fourth proportional to 23,019.96, 31,758.56 and 12,946.10 is: 17,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.96 : 31,758.56 = 12,946.10 : x
  2. Step 2: Convert to fraction form
    23,019.96/31,758.56 = 12,946.10/x
  3. Step 3: Cross multiply
    23,019.96x = 31,758.56 × 12,946.10
  4. Step 4: Simplify right side
    23,019.96x = 411,149,282.23
  5. Step 5: Solve for x
    x = 411,149,282.23/23,019.96
  6. Step 6: Final answer
    x = 17,860.55

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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.