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Finding the Fourth Proportional to 23,356.36, 32,231.16 and 12,746

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Solution

The fourth proportional to 23,356.36, 32,231.16 and 12,746 is: 17,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.36 : 32,231.16 = 12,746 : x
  2. Step 2: Convert to fraction form
    23,356.36/32,231.16 = 12,746/x
  3. Step 3: Cross multiply
    23,356.36x = 32,231.16 × 12,746
  4. Step 4: Simplify right side
    23,356.36x = 410,818,365.36
  5. Step 5: Solve for x
    x = 410,818,365.36/23,356.36
  6. Step 6: Final answer
    x = 17,589.14

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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.