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Finding the Fourth Proportional to 21,188.88, 31,783.32 and 7,337.88

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Solution

The fourth proportional to 21,188.88, 31,783.32 and 7,337.88 is: 11,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.88 : 31,783.32 = 7,337.88 : x
  2. Step 2: Convert to fraction form
    21,188.88/31,783.32 = 7,337.88/x
  3. Step 3: Cross multiply
    21,188.88x = 31,783.32 × 7,337.88
  4. Step 4: Simplify right side
    21,188.88x = 233,222,188.16
  5. Step 5: Solve for x
    x = 233,222,188.16/21,188.88
  6. Step 6: Final answer
    x = 11,006.82

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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.