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Finding the Fourth Proportional to 14,175.74, 19,561.69 and 7,801.25

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Solution

The fourth proportional to 14,175.74, 19,561.69 and 7,801.25 is: 10,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.74 : 19,561.69 = 7,801.25 : x
  2. Step 2: Convert to fraction form
    14,175.74/19,561.69 = 7,801.25/x
  3. Step 3: Cross multiply
    14,175.74x = 19,561.69 × 7,801.25
  4. Step 4: Simplify right side
    14,175.74x = 152,605,634.11
  5. Step 5: Solve for x
    x = 152,605,634.11/14,175.74
  6. Step 6: Final answer
    x = 10,765.27

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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.