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Finding the Fourth Proportional to 15,806.25, 21,812.63 and 9,519.84

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Solution

The fourth proportional to 15,806.25, 21,812.63 and 9,519.84 is: 13,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.25 : 21,812.63 = 9,519.84 : x
  2. Step 2: Convert to fraction form
    15,806.25/21,812.63 = 9,519.84/x
  3. Step 3: Cross multiply
    15,806.25x = 21,812.63 × 9,519.84
  4. Step 4: Simplify right side
    15,806.25x = 207,652,699.98
  5. Step 5: Solve for x
    x = 207,652,699.98/15,806.25
  6. Step 6: Final answer
    x = 13,137.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.