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Finding the Fourth Proportional to 23,697.09, 32,701.95 and 13,086.72

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Solution

The fourth proportional to 23,697.09, 32,701.95 and 13,086.72 is: 18,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.09 : 32,701.95 = 13,086.72 : x
  2. Step 2: Convert to fraction form
    23,697.09/32,701.95 = 13,086.72/x
  3. Step 3: Cross multiply
    23,697.09x = 32,701.95 × 13,086.72
  4. Step 4: Simplify right side
    23,697.09x = 427,961,263.10
  5. Step 5: Solve for x
    x = 427,961,263.10/23,697.09
  6. Step 6: Final answer
    x = 18,059.65

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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.