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Finding the Fourth Proportional to 21,834.95, 32,756.49 and 7,042.32

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Solution

The fourth proportional to 21,834.95, 32,756.49 and 7,042.32 is: 10,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.95 : 32,756.49 = 7,042.32 : x
  2. Step 2: Convert to fraction form
    21,834.95/32,756.49 = 7,042.32/x
  3. Step 3: Cross multiply
    21,834.95x = 32,756.49 × 7,042.32
  4. Step 4: Simplify right side
    21,834.95x = 230,681,684.66
  5. Step 5: Solve for x
    x = 230,681,684.66/21,834.95
  6. Step 6: Final answer
    x = 10,564.79

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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.