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Finding the Fourth Proportional to 28,526.68, 42,791.10 and 9,806.64

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Solution

The fourth proportional to 28,526.68, 42,791.10 and 9,806.64 is: 14,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,526.68 : 42,791.10 = 9,806.64 : x
  2. Step 2: Convert to fraction form
    28,526.68/42,791.10 = 9,806.64/x
  3. Step 3: Cross multiply
    28,526.68x = 42,791.10 × 9,806.64
  4. Step 4: Simplify right side
    28,526.68x = 419,636,715.66
  5. Step 5: Solve for x
    x = 419,636,715.66/28,526.68
  6. Step 6: Final answer
    x = 14,710.33

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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.