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Finding the Fourth Proportional to 14,066.44, 19,411.12 and 8,098.32

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Solution

The fourth proportional to 14,066.44, 19,411.12 and 8,098.32 is: 11,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.44 : 19,411.12 = 8,098.32 : x
  2. Step 2: Convert to fraction form
    14,066.44/19,411.12 = 8,098.32/x
  3. Step 3: Cross multiply
    14,066.44x = 19,411.12 × 8,098.32
  4. Step 4: Simplify right side
    14,066.44x = 157,197,461.32
  5. Step 5: Solve for x
    x = 157,197,461.32/14,066.44
  6. Step 6: Final answer
    x = 11,175.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.