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Finding the Fourth Proportional to 14,175.12, 19,578.06 and 9,451.20

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Solution

The fourth proportional to 14,175.12, 19,578.06 and 9,451.20 is: 13,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.12 : 19,578.06 = 9,451.20 : x
  2. Step 2: Convert to fraction form
    14,175.12/19,578.06 = 9,451.20/x
  3. Step 3: Cross multiply
    14,175.12x = 19,578.06 × 9,451.20
  4. Step 4: Simplify right side
    14,175.12x = 185,036,160.67
  5. Step 5: Solve for x
    x = 185,036,160.67/14,175.12
  6. Step 6: Final answer
    x = 13,053.59

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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.