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Finding the Fourth Proportional to 21,612.66, 32,357.87 and 11,457.91

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Solution

The fourth proportional to 21,612.66, 32,357.87 and 11,457.91 is: 17,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.66 : 32,357.87 = 11,457.91 : x
  2. Step 2: Convert to fraction form
    21,612.66/32,357.87 = 11,457.91/x
  3. Step 3: Cross multiply
    21,612.66x = 32,357.87 × 11,457.91
  4. Step 4: Simplify right side
    21,612.66x = 370,753,562.25
  5. Step 5: Solve for x
    x = 370,753,562.25/21,612.66
  6. Step 6: Final answer
    x = 17,154.46

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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.