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Finding the Fourth Proportional to 13,144.30, 19,716.45 and 9,688.30

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Solution

The fourth proportional to 13,144.30, 19,716.45 and 9,688.30 is: 14,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.30 : 19,716.45 = 9,688.30 : x
  2. Step 2: Convert to fraction form
    13,144.30/19,716.45 = 9,688.30/x
  3. Step 3: Cross multiply
    13,144.30x = 19,716.45 × 9,688.30
  4. Step 4: Simplify right side
    13,144.30x = 191,018,882.54
  5. Step 5: Solve for x
    x = 191,018,882.54/13,144.30
  6. Step 6: Final answer
    x = 14,532.45

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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.