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Finding the Fourth Proportional to 23,822.64, 32,875.92 and 13,068

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Solution

The fourth proportional to 23,822.64, 32,875.92 and 13,068 is: 18,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.64 : 32,875.92 = 13,068 : x
  2. Step 2: Convert to fraction form
    23,822.64/32,875.92 = 13,068/x
  3. Step 3: Cross multiply
    23,822.64x = 32,875.92 × 13,068
  4. Step 4: Simplify right side
    23,822.64x = 429,622,522.56
  5. Step 5: Solve for x
    x = 429,622,522.56/23,822.64
  6. Step 6: Final answer
    x = 18,034.21

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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.