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Finding the Fourth Proportional to 23,780.02, 32,816.02 and 13,169.42

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Solution

The fourth proportional to 23,780.02, 32,816.02 and 13,169.42 is: 18,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.02 : 32,816.02 = 13,169.42 : x
  2. Step 2: Convert to fraction form
    23,780.02/32,816.02 = 13,169.42/x
  3. Step 3: Cross multiply
    23,780.02x = 32,816.02 × 13,169.42
  4. Step 4: Simplify right side
    23,780.02x = 432,167,950.11
  5. Step 5: Solve for x
    x = 432,167,950.11/23,780.02
  6. Step 6: Final answer
    x = 18,173.57

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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.