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Finding the Fourth Proportional to 16,214.75, 24,322.88 and 4,969.29

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Solution

The fourth proportional to 16,214.75, 24,322.88 and 4,969.29 is: 7,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.75 : 24,322.88 = 4,969.29 : x
  2. Step 2: Convert to fraction form
    16,214.75/24,322.88 = 4,969.29/x
  3. Step 3: Cross multiply
    16,214.75x = 24,322.88 × 4,969.29
  4. Step 4: Simplify right side
    16,214.75x = 120,867,419.51
  5. Step 5: Solve for x
    x = 120,867,419.51/16,214.75
  6. Step 6: Final answer
    x = 7,454.16

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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.