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Finding the Fourth Proportional to 23,816.16, 32,866.02 and 13,205.70

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Solution

The fourth proportional to 23,816.16, 32,866.02 and 13,205.70 is: 18,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.16 : 32,866.02 = 13,205.70 : x
  2. Step 2: Convert to fraction form
    23,816.16/32,866.02 = 13,205.70/x
  3. Step 3: Cross multiply
    23,816.16x = 32,866.02 × 13,205.70
  4. Step 4: Simplify right side
    23,816.16x = 434,018,800.31
  5. Step 5: Solve for x
    x = 434,018,800.31/23,816.16
  6. Step 6: Final answer
    x = 18,223.71

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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.