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Finding the Fourth Proportional to 15,497.22, 21,386.31 and 9,208.38

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Solution

The fourth proportional to 15,497.22, 21,386.31 and 9,208.38 is: 12,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.22 : 21,386.31 = 9,208.38 : x
  2. Step 2: Convert to fraction form
    15,497.22/21,386.31 = 9,208.38/x
  3. Step 3: Cross multiply
    15,497.22x = 21,386.31 × 9,208.38
  4. Step 4: Simplify right side
    15,497.22x = 196,933,269.28
  5. Step 5: Solve for x
    x = 196,933,269.28/15,497.22
  6. Step 6: Final answer
    x = 12,707.65

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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.