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Finding the Fourth Proportional to 14,187.87, 19,574.19 and 8,216.28

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Solution

The fourth proportional to 14,187.87, 19,574.19 and 8,216.28 is: 11,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.87 : 19,574.19 = 8,216.28 : x
  2. Step 2: Convert to fraction form
    14,187.87/19,574.19 = 8,216.28/x
  3. Step 3: Cross multiply
    14,187.87x = 19,574.19 × 8,216.28
  4. Step 4: Simplify right side
    14,187.87x = 160,827,025.81
  5. Step 5: Solve for x
    x = 160,827,025.81/14,187.87
  6. Step 6: Final answer
    x = 11,335.53

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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.