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Finding the Fourth Proportional to 21,263.50, 31,909.83 and 7,412.50

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Solution

The fourth proportional to 21,263.50, 31,909.83 and 7,412.50 is: 11,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,263.50 : 31,909.83 = 7,412.50 : x
  2. Step 2: Convert to fraction form
    21,263.50/31,909.83 = 7,412.50/x
  3. Step 3: Cross multiply
    21,263.50x = 31,909.83 × 7,412.50
  4. Step 4: Simplify right side
    21,263.50x = 236,531,614.88
  5. Step 5: Solve for x
    x = 236,531,614.88/21,263.50
  6. Step 6: Final answer
    x = 11,123.83

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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.