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Finding the Fourth Proportional to 23,523.84, 32,460.75 and 13,451.94

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Solution

The fourth proportional to 23,523.84, 32,460.75 and 13,451.94 is: 18,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.84 : 32,460.75 = 13,451.94 : x
  2. Step 2: Convert to fraction form
    23,523.84/32,460.75 = 13,451.94/x
  3. Step 3: Cross multiply
    23,523.84x = 32,460.75 × 13,451.94
  4. Step 4: Simplify right side
    23,523.84x = 436,660,061.36
  5. Step 5: Solve for x
    x = 436,660,061.36/23,523.84
  6. Step 6: Final answer
    x = 18,562.45

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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.