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Finding the Fourth Proportional to 23,384.98, 32,269.71 and 12,774.58

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Solution

The fourth proportional to 23,384.98, 32,269.71 and 12,774.58 is: 17,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.98 : 32,269.71 = 12,774.58 : x
  2. Step 2: Convert to fraction form
    23,384.98/32,269.71 = 12,774.58/x
  3. Step 3: Cross multiply
    23,384.98x = 32,269.71 × 12,774.58
  4. Step 4: Simplify right side
    23,384.98x = 412,231,991.97
  5. Step 5: Solve for x
    x = 412,231,991.97/23,384.98
  6. Step 6: Final answer
    x = 17,628.07

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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.