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Finding the Fourth Proportional to 21,568.35, 32,352.72 and 6,776.94

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Solution

The fourth proportional to 21,568.35, 32,352.72 and 6,776.94 is: 10,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.35 : 32,352.72 = 6,776.94 : x
  2. Step 2: Convert to fraction form
    21,568.35/32,352.72 = 6,776.94/x
  3. Step 3: Cross multiply
    21,568.35x = 32,352.72 × 6,776.94
  4. Step 4: Simplify right side
    21,568.35x = 219,252,442.28
  5. Step 5: Solve for x
    x = 219,252,442.28/21,568.35
  6. Step 6: Final answer
    x = 10,165.47

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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.