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Finding the Fourth Proportional to 24,465.20, 33,775.98 and 16,106

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Solution

The fourth proportional to 24,465.20, 33,775.98 and 16,106 is: 22,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.20 : 33,775.98 = 16,106 : x
  2. Step 2: Convert to fraction form
    24,465.20/33,775.98 = 16,106/x
  3. Step 3: Cross multiply
    24,465.20x = 33,775.98 × 16,106
  4. Step 4: Simplify right side
    24,465.20x = 543,995,933.88
  5. Step 5: Solve for x
    x = 543,995,933.88/24,465.20
  6. Step 6: Final answer
    x = 22,235.50

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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.