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Finding the Fourth Proportional to 11,665.47, 17,483.55 and 9,190.50

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Solution

The fourth proportional to 11,665.47, 17,483.55 and 9,190.50 is: 13,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.47 : 17,483.55 = 9,190.50 : x
  2. Step 2: Convert to fraction form
    11,665.47/17,483.55 = 9,190.50/x
  3. Step 3: Cross multiply
    11,665.47x = 17,483.55 × 9,190.50
  4. Step 4: Simplify right side
    11,665.47x = 160,682,566.28
  5. Step 5: Solve for x
    x = 160,682,566.28/11,665.47
  6. Step 6: Final answer
    x = 13,774.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.