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Finding the Fourth Proportional to 12,815, 19,175.11 and 10,941.47

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Solution

The fourth proportional to 12,815, 19,175.11 and 10,941.47 is: 16,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815 : 19,175.11 = 10,941.47 : x
  2. Step 2: Convert to fraction form
    12,815/19,175.11 = 10,941.47/x
  3. Step 3: Cross multiply
    12,815x = 19,175.11 × 10,941.47
  4. Step 4: Simplify right side
    12,815x = 209,803,890.81
  5. Step 5: Solve for x
    x = 209,803,890.81/12,815
  6. Step 6: Final answer
    x = 16,371.74

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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.