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Finding the Fourth Proportional to 23,767.32, 32,802.72 and 18,093

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Solution

The fourth proportional to 23,767.32, 32,802.72 and 18,093 is: 24,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.32 : 32,802.72 = 18,093 : x
  2. Step 2: Convert to fraction form
    23,767.32/32,802.72 = 18,093/x
  3. Step 3: Cross multiply
    23,767.32x = 32,802.72 × 18,093
  4. Step 4: Simplify right side
    23,767.32x = 593,499,612.96
  5. Step 5: Solve for x
    x = 593,499,612.96/23,767.32
  6. Step 6: Final answer
    x = 24,971.25

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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.