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Finding the Fourth Proportional to 23,780.70, 32,816.13 and 13,169.70

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Solution

The fourth proportional to 23,780.70, 32,816.13 and 13,169.70 is: 18,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.70 : 32,816.13 = 13,169.70 : x
  2. Step 2: Convert to fraction form
    23,780.70/32,816.13 = 13,169.70/x
  3. Step 3: Cross multiply
    23,780.70x = 32,816.13 × 13,169.70
  4. Step 4: Simplify right side
    23,780.70x = 432,178,587.26
  5. Step 5: Solve for x
    x = 432,178,587.26/23,780.70
  6. Step 6: Final answer
    x = 18,173.50

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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.