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Finding the Fourth Proportional to 22,946, 31,667.40 and 13,011.92

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Solution

The fourth proportional to 22,946, 31,667.40 and 13,011.92 is: 17,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946 : 31,667.40 = 13,011.92 : x
  2. Step 2: Convert to fraction form
    22,946/31,667.40 = 13,011.92/x
  3. Step 3: Cross multiply
    22,946x = 31,667.40 × 13,011.92
  4. Step 4: Simplify right side
    22,946x = 412,053,675.41
  5. Step 5: Solve for x
    x = 412,053,675.41/22,946
  6. Step 6: Final answer
    x = 17,957.54

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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.