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Finding the Fourth Proportional to 14,338.90, 19,784.22 and 8,367.16

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Solution

The fourth proportional to 14,338.90, 19,784.22 and 8,367.16 is: 11,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.90 : 19,784.22 = 8,367.16 : x
  2. Step 2: Convert to fraction form
    14,338.90/19,784.22 = 8,367.16/x
  3. Step 3: Cross multiply
    14,338.90x = 19,784.22 × 8,367.16
  4. Step 4: Simplify right side
    14,338.90x = 165,537,734.22
  5. Step 5: Solve for x
    x = 165,537,734.22/14,338.90
  6. Step 6: Final answer
    x = 11,544.66

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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.