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Finding the Fourth Proportional to 21,813.16, 32,715.60 and 6,014.29

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Solution

The fourth proportional to 21,813.16, 32,715.60 and 6,014.29 is: 9,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.16 : 32,715.60 = 6,014.29 : x
  2. Step 2: Convert to fraction form
    21,813.16/32,715.60 = 6,014.29/x
  3. Step 3: Cross multiply
    21,813.16x = 32,715.60 × 6,014.29
  4. Step 4: Simplify right side
    21,813.16x = 196,760,927.31
  5. Step 5: Solve for x
    x = 196,760,927.31/21,813.16
  6. Step 6: Final answer
    x = 9,020.29

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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.