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Finding the Fourth Proportional to 23,294.28, 32,146.02 and 12,683.82

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Solution

The fourth proportional to 23,294.28, 32,146.02 and 12,683.82 is: 17,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.28 : 32,146.02 = 12,683.82 : x
  2. Step 2: Convert to fraction form
    23,294.28/32,146.02 = 12,683.82/x
  3. Step 3: Cross multiply
    23,294.28x = 32,146.02 × 12,683.82
  4. Step 4: Simplify right side
    23,294.28x = 407,734,331.40
  5. Step 5: Solve for x
    x = 407,734,331.40/23,294.28
  6. Step 6: Final answer
    x = 17,503.62

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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.