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Finding the Fourth Proportional to 23,188.19, 34,783.73 and 6,549.50

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Solution

The fourth proportional to 23,188.19, 34,783.73 and 6,549.50 is: 9,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.19 : 34,783.73 = 6,549.50 : x
  2. Step 2: Convert to fraction form
    23,188.19/34,783.73 = 6,549.50/x
  3. Step 3: Cross multiply
    23,188.19x = 34,783.73 × 6,549.50
  4. Step 4: Simplify right side
    23,188.19x = 227,815,832.97
  5. Step 5: Solve for x
    x = 227,815,832.97/23,188.19
  6. Step 6: Final answer
    x = 9,824.65

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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.