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Finding the Fourth Proportional to 21,409.52, 32,114.46 and 6,618.40

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Solution

The fourth proportional to 21,409.52, 32,114.46 and 6,618.40 is: 9,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.52 : 32,114.46 = 6,618.40 : x
  2. Step 2: Convert to fraction form
    21,409.52/32,114.46 = 6,618.40/x
  3. Step 3: Cross multiply
    21,409.52x = 32,114.46 × 6,618.40
  4. Step 4: Simplify right side
    21,409.52x = 212,546,342.06
  5. Step 5: Solve for x
    x = 212,546,342.06/21,409.52
  6. Step 6: Final answer
    x = 9,927.66

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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.