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Finding the Fourth Proportional to 12,334.16, 18,507 and 7,144.40

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Solution

The fourth proportional to 12,334.16, 18,507 and 7,144.40 is: 10,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.16 : 18,507 = 7,144.40 : x
  2. Step 2: Convert to fraction form
    12,334.16/18,507 = 7,144.40/x
  3. Step 3: Cross multiply
    12,334.16x = 18,507 × 7,144.40
  4. Step 4: Simplify right side
    12,334.16x = 132,221,410.80
  5. Step 5: Solve for x
    x = 132,221,410.80/12,334.16
  6. Step 6: Final answer
    x = 10,719.94

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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.