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Finding the Fourth Proportional to 14,465.71, 19,961.74 and 8,091.20

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Solution

The fourth proportional to 14,465.71, 19,961.74 and 8,091.20 is: 11,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.71 : 19,961.74 = 8,091.20 : x
  2. Step 2: Convert to fraction form
    14,465.71/19,961.74 = 8,091.20/x
  3. Step 3: Cross multiply
    14,465.71x = 19,961.74 × 8,091.20
  4. Step 4: Simplify right side
    14,465.71x = 161,514,330.88
  5. Step 5: Solve for x
    x = 161,514,330.88/14,465.71
  6. Step 6: Final answer
    x = 11,165.32

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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.