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Finding the Fourth Proportional to 21,234, 31,883.88 and 11,392.50

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Solution

The fourth proportional to 21,234, 31,883.88 and 11,392.50 is: 17,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 31,883.88 = 11,392.50 : x
  2. Step 2: Convert to fraction form
    21,234/31,883.88 = 11,392.50/x
  3. Step 3: Cross multiply
    21,234x = 31,883.88 × 11,392.50
  4. Step 4: Simplify right side
    21,234x = 363,237,102.90
  5. Step 5: Solve for x
    x = 363,237,102.90/21,234
  6. Step 6: Final answer
    x = 17,106.39

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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.