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Finding the Fourth Proportional to 11,985.84, 17,963.37 and 10,501.65

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Solution

The fourth proportional to 11,985.84, 17,963.37 and 10,501.65 is: 15,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.84 : 17,963.37 = 10,501.65 : x
  2. Step 2: Convert to fraction form
    11,985.84/17,963.37 = 10,501.65/x
  3. Step 3: Cross multiply
    11,985.84x = 17,963.37 × 10,501.65
  4. Step 4: Simplify right side
    11,985.84x = 188,645,024.56
  5. Step 5: Solve for x
    x = 188,645,024.56/11,985.84
  6. Step 6: Final answer
    x = 15,738.99

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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.