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Finding the Fourth Proportional to 23,136.50, 31,928.38 and 13,200.50

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Solution

The fourth proportional to 23,136.50, 31,928.38 and 13,200.50 is: 18,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.50 : 31,928.38 = 13,200.50 : x
  2. Step 2: Convert to fraction form
    23,136.50/31,928.38 = 13,200.50/x
  3. Step 3: Cross multiply
    23,136.50x = 31,928.38 × 13,200.50
  4. Step 4: Simplify right side
    23,136.50x = 421,470,580.19
  5. Step 5: Solve for x
    x = 421,470,580.19/23,136.50
  6. Step 6: Final answer
    x = 18,216.70

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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.