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Finding the Fourth Proportional to 23,376.19, 32,259.25 and 12,765.82

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Solution

The fourth proportional to 23,376.19, 32,259.25 and 12,765.82 is: 17,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.19 : 32,259.25 = 12,765.82 : x
  2. Step 2: Convert to fraction form
    23,376.19/32,259.25 = 12,765.82/x
  3. Step 3: Cross multiply
    23,376.19x = 32,259.25 × 12,765.82
  4. Step 4: Simplify right side
    23,376.19x = 411,815,617.54
  5. Step 5: Solve for x
    x = 411,815,617.54/23,376.19
  6. Step 6: Final answer
    x = 17,616.89

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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.