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Finding the Fourth Proportional to 23,235.66, 32,069.88 and 13,164.12

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Solution

The fourth proportional to 23,235.66, 32,069.88 and 13,164.12 is: 18,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235.66 : 32,069.88 = 13,164.12 : x
  2. Step 2: Convert to fraction form
    23,235.66/32,069.88 = 13,164.12/x
  3. Step 3: Cross multiply
    23,235.66x = 32,069.88 × 13,164.12
  4. Step 4: Simplify right side
    23,235.66x = 422,171,748.71
  5. Step 5: Solve for x
    x = 422,171,748.71/23,235.66
  6. Step 6: Final answer
    x = 18,169.13

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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.