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Finding the Fourth Proportional to 16,412.22, 22,648.08 and 9,242.18

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Solution

The fourth proportional to 16,412.22, 22,648.08 and 9,242.18 is: 12,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.22 : 22,648.08 = 9,242.18 : x
  2. Step 2: Convert to fraction form
    16,412.22/22,648.08 = 9,242.18/x
  3. Step 3: Cross multiply
    16,412.22x = 22,648.08 × 9,242.18
  4. Step 4: Simplify right side
    16,412.22x = 209,317,632.01
  5. Step 5: Solve for x
    x = 209,317,632.01/16,412.22
  6. Step 6: Final answer
    x = 12,753.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.