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Finding the Fourth Proportional to 22,465.51, 33,674.55 and 8,416.36

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Solution

The fourth proportional to 22,465.51, 33,674.55 and 8,416.36 is: 12,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.51 : 33,674.55 = 8,416.36 : x
  2. Step 2: Convert to fraction form
    22,465.51/33,674.55 = 8,416.36/x
  3. Step 3: Cross multiply
    22,465.51x = 33,674.55 × 8,416.36
  4. Step 4: Simplify right side
    22,465.51x = 283,417,135.64
  5. Step 5: Solve for x
    x = 283,417,135.64/22,465.51
  6. Step 6: Final answer
    x = 12,615.66

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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.