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Finding the Fourth Proportional to 23,683.68, 32,683.56 and 13,073.28

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Solution

The fourth proportional to 23,683.68, 32,683.56 and 13,073.28 is: 18,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.68 : 32,683.56 = 13,073.28 : x
  2. Step 2: Convert to fraction form
    23,683.68/32,683.56 = 13,073.28/x
  3. Step 3: Cross multiply
    23,683.68x = 32,683.56 × 13,073.28
  4. Step 4: Simplify right side
    23,683.68x = 427,281,331.28
  5. Step 5: Solve for x
    x = 427,281,331.28/23,683.68
  6. Step 6: Final answer
    x = 18,041.17

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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.