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Finding the Fourth Proportional to 11,875.66, 17,813.54 and 10,505.14

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Solution

The fourth proportional to 11,875.66, 17,813.54 and 10,505.14 is: 15,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.66 : 17,813.54 = 10,505.14 : x
  2. Step 2: Convert to fraction form
    11,875.66/17,813.54 = 10,505.14/x
  3. Step 3: Cross multiply
    11,875.66x = 17,813.54 × 10,505.14
  4. Step 4: Simplify right side
    11,875.66x = 187,133,731.60
  5. Step 5: Solve for x
    x = 187,133,731.60/11,875.66
  6. Step 6: Final answer
    x = 15,757.75

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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.