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Finding the Fourth Proportional to 23,840.52, 32,892.31 and 13,767.63

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Solution

The fourth proportional to 23,840.52, 32,892.31 and 13,767.63 is: 18,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.52 : 32,892.31 = 13,767.63 : x
  2. Step 2: Convert to fraction form
    23,840.52/32,892.31 = 13,767.63/x
  3. Step 3: Cross multiply
    23,840.52x = 32,892.31 × 13,767.63
  4. Step 4: Simplify right side
    23,840.52x = 452,849,153.93
  5. Step 5: Solve for x
    x = 452,849,153.93/23,840.52
  6. Step 6: Final answer
    x = 18,994.94

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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.