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Finding the Fourth Proportional to 22,214.48, 33,316.80 and 6,416.07

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Solution

The fourth proportional to 22,214.48, 33,316.80 and 6,416.07 is: 9,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.48 : 33,316.80 = 6,416.07 : x
  2. Step 2: Convert to fraction form
    22,214.48/33,316.80 = 6,416.07/x
  3. Step 3: Cross multiply
    22,214.48x = 33,316.80 × 6,416.07
  4. Step 4: Simplify right side
    22,214.48x = 213,762,920.98
  5. Step 5: Solve for x
    x = 213,762,920.98/22,214.48
  6. Step 6: Final answer
    x = 9,622.68

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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.