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Finding the Fourth Proportional to 23,894.74, 32,967.03 and 13,282.33

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Solution

The fourth proportional to 23,894.74, 32,967.03 and 13,282.33 is: 18,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.74 : 32,967.03 = 13,282.33 : x
  2. Step 2: Convert to fraction form
    23,894.74/32,967.03 = 13,282.33/x
  3. Step 3: Cross multiply
    23,894.74x = 32,967.03 × 13,282.33
  4. Step 4: Simplify right side
    23,894.74x = 437,878,971.58
  5. Step 5: Solve for x
    x = 437,878,971.58/23,894.74
  6. Step 6: Final answer
    x = 18,325.33

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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.