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Finding the Fourth Proportional to 42,814.76, 64,215.66 and 11,652.44

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Solution

The fourth proportional to 42,814.76, 64,215.66 and 11,652.44 is: 17,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,814.76 : 64,215.66 = 11,652.44 : x
  2. Step 2: Convert to fraction form
    42,814.76/64,215.66 = 11,652.44/x
  3. Step 3: Cross multiply
    42,814.76x = 64,215.66 × 11,652.44
  4. Step 4: Simplify right side
    42,814.76x = 748,269,125.21
  5. Step 5: Solve for x
    x = 748,269,125.21/42,814.76
  6. Step 6: Final answer
    x = 17,476.90

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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.