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Finding the Fourth Proportional to 23,774.07, 32,808.74 and 13,164.15

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Solution

The fourth proportional to 23,774.07, 32,808.74 and 13,164.15 is: 18,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.07 : 32,808.74 = 13,164.15 : x
  2. Step 2: Convert to fraction form
    23,774.07/32,808.74 = 13,164.15/x
  3. Step 3: Cross multiply
    23,774.07x = 32,808.74 × 13,164.15
  4. Step 4: Simplify right side
    23,774.07x = 431,899,108.85
  5. Step 5: Solve for x
    x = 431,899,108.85/23,774.07
  6. Step 6: Final answer
    x = 18,166.81

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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.