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Finding the Fourth Proportional to 23,683.70, 32,683.74 and 13,073.11

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Solution

The fourth proportional to 23,683.70, 32,683.74 and 13,073.11 is: 18,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,683.70 : 32,683.74 = 13,073.11 : x
  2. Step 2: Convert to fraction form
    23,683.70/32,683.74 = 13,073.11/x
  3. Step 3: Cross multiply
    23,683.70x = 32,683.74 × 13,073.11
  4. Step 4: Simplify right side
    23,683.70x = 427,277,997.50
  5. Step 5: Solve for x
    x = 427,277,997.50/23,683.70
  6. Step 6: Final answer
    x = 18,041.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.