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Finding the Fourth Proportional to 11,838.16, 17,740.31 and 8,693.50

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Solution

The fourth proportional to 11,838.16, 17,740.31 and 8,693.50 is: 13,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.16 : 17,740.31 = 8,693.50 : x
  2. Step 2: Convert to fraction form
    11,838.16/17,740.31 = 8,693.50/x
  3. Step 3: Cross multiply
    11,838.16x = 17,740.31 × 8,693.50
  4. Step 4: Simplify right side
    11,838.16x = 154,225,296.28
  5. Step 5: Solve for x
    x = 154,225,296.28/11,838.16
  6. Step 6: Final answer
    x = 13,027.82

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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.