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Finding the Fourth Proportional to 15,688.31, 21,653.21 and 9,404.33

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Solution

The fourth proportional to 15,688.31, 21,653.21 and 9,404.33 is: 12,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.31 : 21,653.21 = 9,404.33 : x
  2. Step 2: Convert to fraction form
    15,688.31/21,653.21 = 9,404.33/x
  3. Step 3: Cross multiply
    15,688.31x = 21,653.21 × 9,404.33
  4. Step 4: Simplify right side
    15,688.31x = 203,633,885.38
  5. Step 5: Solve for x
    x = 203,633,885.38/15,688.31
  6. Step 6: Final answer
    x = 12,979.98

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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.