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Finding the Fourth Proportional to 14,922.30, 22,382.94 and 6,035.10

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Solution

The fourth proportional to 14,922.30, 22,382.94 and 6,035.10 is: 9,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.30 : 22,382.94 = 6,035.10 : x
  2. Step 2: Convert to fraction form
    14,922.30/22,382.94 = 6,035.10/x
  3. Step 3: Cross multiply
    14,922.30x = 22,382.94 × 6,035.10
  4. Step 4: Simplify right side
    14,922.30x = 135,083,281.19
  5. Step 5: Solve for x
    x = 135,083,281.19/14,922.30
  6. Step 6: Final answer
    x = 9,052.44

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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.