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Finding the Fourth Proportional to 20,929.66, 31,382.19 and 8,450.10

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Solution

The fourth proportional to 20,929.66, 31,382.19 and 8,450.10 is: 12,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.66 : 31,382.19 = 8,450.10 : x
  2. Step 2: Convert to fraction form
    20,929.66/31,382.19 = 8,450.10/x
  3. Step 3: Cross multiply
    20,929.66x = 31,382.19 × 8,450.10
  4. Step 4: Simplify right side
    20,929.66x = 265,182,643.72
  5. Step 5: Solve for x
    x = 265,182,643.72/20,929.66
  6. Step 6: Final answer
    x = 12,670.18

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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.