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Finding the Fourth Proportional to 22,267.13, 33,415.27 and 8,416.13

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Solution

The fourth proportional to 22,267.13, 33,415.27 and 8,416.13 is: 12,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.13 : 33,415.27 = 8,416.13 : x
  2. Step 2: Convert to fraction form
    22,267.13/33,415.27 = 8,416.13/x
  3. Step 3: Cross multiply
    22,267.13x = 33,415.27 × 8,416.13
  4. Step 4: Simplify right side
    22,267.13x = 281,227,068.19
  5. Step 5: Solve for x
    x = 281,227,068.19/22,267.13
  6. Step 6: Final answer
    x = 12,629.70

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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.