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Finding the Fourth Proportional to 24,465.70, 33,776.67 and 16,106.50

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Solution

The fourth proportional to 24,465.70, 33,776.67 and 16,106.50 is: 22,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.70 : 33,776.67 = 16,106.50 : x
  2. Step 2: Convert to fraction form
    24,465.70/33,776.67 = 16,106.50/x
  3. Step 3: Cross multiply
    24,465.70x = 33,776.67 × 16,106.50
  4. Step 4: Simplify right side
    24,465.70x = 544,023,935.36
  5. Step 5: Solve for x
    x = 544,023,935.36/24,465.70
  6. Step 6: Final answer
    x = 22,236.19

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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.