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Finding the Fourth Proportional to 23,751.84, 32,774.58 and 13,140.12

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Solution

The fourth proportional to 23,751.84, 32,774.58 and 13,140.12 is: 18,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.84 : 32,774.58 = 13,140.12 : x
  2. Step 2: Convert to fraction form
    23,751.84/32,774.58 = 13,140.12/x
  3. Step 3: Cross multiply
    23,751.84x = 32,774.58 × 13,140.12
  4. Step 4: Simplify right side
    23,751.84x = 430,661,914.15
  5. Step 5: Solve for x
    x = 430,661,914.15/23,751.84
  6. Step 6: Final answer
    x = 18,131.73

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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.