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Finding the Fourth Proportional to 13,175.37, 19,752.12 and 10,266.66

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Solution

The fourth proportional to 13,175.37, 19,752.12 and 10,266.66 is: 15,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.37 : 19,752.12 = 10,266.66 : x
  2. Step 2: Convert to fraction form
    13,175.37/19,752.12 = 10,266.66/x
  3. Step 3: Cross multiply
    13,175.37x = 19,752.12 × 10,266.66
  4. Step 4: Simplify right side
    13,175.37x = 202,788,300.32
  5. Step 5: Solve for x
    x = 202,788,300.32/13,175.37
  6. Step 6: Final answer
    x = 15,391.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.