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Finding the Fourth Proportional to 22,573.95, 33,842.44 and 8,526

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Solution

The fourth proportional to 22,573.95, 33,842.44 and 8,526 is: 12,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573.95 : 33,842.44 = 8,526 : x
  2. Step 2: Convert to fraction form
    22,573.95/33,842.44 = 8,526/x
  3. Step 3: Cross multiply
    22,573.95x = 33,842.44 × 8,526
  4. Step 4: Simplify right side
    22,573.95x = 288,540,643.44
  5. Step 5: Solve for x
    x = 288,540,643.44/22,573.95
  6. Step 6: Final answer
    x = 12,782.02

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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.