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Finding the Fourth Proportional to 23,684.34, 32,683.50 and 13,073.88

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Solution

The fourth proportional to 23,684.34, 32,683.50 and 13,073.88 is: 18,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.34 : 32,683.50 = 13,073.88 : x
  2. Step 2: Convert to fraction form
    23,684.34/32,683.50 = 13,073.88/x
  3. Step 3: Cross multiply
    23,684.34x = 32,683.50 × 13,073.88
  4. Step 4: Simplify right side
    23,684.34x = 427,300,156.98
  5. Step 5: Solve for x
    x = 427,300,156.98/23,684.34
  6. Step 6: Final answer
    x = 18,041.46

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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.