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Finding the Fourth Proportional to 23,832.66, 32,893.01 and 13,225.71

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Solution

The fourth proportional to 23,832.66, 32,893.01 and 13,225.71 is: 18,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.66 : 32,893.01 = 13,225.71 : x
  2. Step 2: Convert to fraction form
    23,832.66/32,893.01 = 13,225.71/x
  3. Step 3: Cross multiply
    23,832.66x = 32,893.01 × 13,225.71
  4. Step 4: Simplify right side
    23,832.66x = 435,033,345.16
  5. Step 5: Solve for x
    x = 435,033,345.16/23,832.66
  6. Step 6: Final answer
    x = 18,253.66

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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.