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Finding the Fourth Proportional to 21,190.95, 31,802.22 and 8,068.95

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Solution

The fourth proportional to 21,190.95, 31,802.22 and 8,068.95 is: 12,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.95 : 31,802.22 = 8,068.95 : x
  2. Step 2: Convert to fraction form
    21,190.95/31,802.22 = 8,068.95/x
  3. Step 3: Cross multiply
    21,190.95x = 31,802.22 × 8,068.95
  4. Step 4: Simplify right side
    21,190.95x = 256,610,523.07
  5. Step 5: Solve for x
    x = 256,610,523.07/21,190.95
  6. Step 6: Final answer
    x = 12,109.44

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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.