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Finding the Fourth Proportional to 21,776.49, 32,638.05 and 15,502.50

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Solution

The fourth proportional to 21,776.49, 32,638.05 and 15,502.50 is: 23,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.49 : 32,638.05 = 15,502.50 : x
  2. Step 2: Convert to fraction form
    21,776.49/32,638.05 = 15,502.50/x
  3. Step 3: Cross multiply
    21,776.49x = 32,638.05 × 15,502.50
  4. Step 4: Simplify right side
    21,776.49x = 505,971,370.13
  5. Step 5: Solve for x
    x = 505,971,370.13/21,776.49
  6. Step 6: Final answer
    x = 23,234.75

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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.