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Finding the Fourth Proportional to 23,748, 32,785.32 and 17,777.52

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Solution

The fourth proportional to 23,748, 32,785.32 and 17,777.52 is: 24,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748 : 32,785.32 = 17,777.52 : x
  2. Step 2: Convert to fraction form
    23,748/32,785.32 = 17,777.52/x
  3. Step 3: Cross multiply
    23,748x = 32,785.32 × 17,777.52
  4. Step 4: Simplify right side
    23,748x = 582,841,682.01
  5. Step 5: Solve for x
    x = 582,841,682.01/23,748
  6. Step 6: Final answer
    x = 24,542.77

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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.