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Finding the Fourth Proportional to 22,875.60, 34,311.24 and 11,776.44

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Solution

The fourth proportional to 22,875.60, 34,311.24 and 11,776.44 is: 17,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875.60 : 34,311.24 = 11,776.44 : x
  2. Step 2: Convert to fraction form
    22,875.60/34,311.24 = 11,776.44/x
  3. Step 3: Cross multiply
    22,875.60x = 34,311.24 × 11,776.44
  4. Step 4: Simplify right side
    22,875.60x = 404,064,259.19
  5. Step 5: Solve for x
    x = 404,064,259.19/22,875.60
  6. Step 6: Final answer
    x = 17,663.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.