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Finding the Fourth Proportional to 23,352.72, 32,210.76 and 13,914

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Solution

The fourth proportional to 23,352.72, 32,210.76 and 13,914 is: 19,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352.72 : 32,210.76 = 13,914 : x
  2. Step 2: Convert to fraction form
    23,352.72/32,210.76 = 13,914/x
  3. Step 3: Cross multiply
    23,352.72x = 32,210.76 × 13,914
  4. Step 4: Simplify right side
    23,352.72x = 448,180,514.64
  5. Step 5: Solve for x
    x = 448,180,514.64/23,352.72
  6. Step 6: Final answer
    x = 19,191.79

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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.