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Finding the Fourth Proportional to 23,203.29, 32,022 and 13,127.90

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Solution

The fourth proportional to 23,203.29, 32,022 and 13,127.90 is: 18,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.29 : 32,022 = 13,127.90 : x
  2. Step 2: Convert to fraction form
    23,203.29/32,022 = 13,127.90/x
  3. Step 3: Cross multiply
    23,203.29x = 32,022 × 13,127.90
  4. Step 4: Simplify right side
    23,203.29x = 420,381,453.69
  5. Step 5: Solve for x
    x = 420,381,453.69/23,203.29
  6. Step 6: Final answer
    x = 18,117.32

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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.