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Finding the Fourth Proportional to 16,114.19, 24,106.67 and 13,346.25

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Solution

The fourth proportional to 16,114.19, 24,106.67 and 13,346.25 is: 19,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.19 : 24,106.67 = 13,346.25 : x
  2. Step 2: Convert to fraction form
    16,114.19/24,106.67 = 13,346.25/x
  3. Step 3: Cross multiply
    16,114.19x = 24,106.67 × 13,346.25
  4. Step 4: Simplify right side
    16,114.19x = 321,733,577.76
  5. Step 5: Solve for x
    x = 321,733,577.76/16,114.19
  6. Step 6: Final answer
    x = 19,965.86

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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.