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Finding the Fourth Proportional to 21,407.46, 32,114.26 and 6,617.68

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Solution

The fourth proportional to 21,407.46, 32,114.26 and 6,617.68 is: 9,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.46 : 32,114.26 = 6,617.68 : x
  2. Step 2: Convert to fraction form
    21,407.46/32,114.26 = 6,617.68/x
  3. Step 3: Cross multiply
    21,407.46x = 32,114.26 × 6,617.68
  4. Step 4: Simplify right side
    21,407.46x = 212,521,896.12
  5. Step 5: Solve for x
    x = 212,521,896.12/21,407.46
  6. Step 6: Final answer
    x = 9,927.47

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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.