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Finding the Fourth Proportional to 23,356.22, 32,231.61 and 12,746.48

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Solution

The fourth proportional to 23,356.22, 32,231.61 and 12,746.48 is: 17,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.22 : 32,231.61 = 12,746.48 : x
  2. Step 2: Convert to fraction form
    23,356.22/32,231.61 = 12,746.48/x
  3. Step 3: Cross multiply
    23,356.22x = 32,231.61 × 12,746.48
  4. Step 4: Simplify right side
    23,356.22x = 410,839,411.07
  5. Step 5: Solve for x
    x = 410,839,411.07/23,356.22
  6. Step 6: Final answer
    x = 17,590.15

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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.