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Finding the Fourth Proportional to 12,911, 17,817.54 and 7,322.36

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Solution

The fourth proportional to 12,911, 17,817.54 and 7,322.36 is: 10,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911 : 17,817.54 = 7,322.36 : x
  2. Step 2: Convert to fraction form
    12,911/17,817.54 = 7,322.36/x
  3. Step 3: Cross multiply
    12,911x = 17,817.54 × 7,322.36
  4. Step 4: Simplify right side
    12,911x = 130,466,442.19
  5. Step 5: Solve for x
    x = 130,466,442.19/12,911
  6. Step 6: Final answer
    x = 10,105.06

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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.