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Finding the Fourth Proportional to 15,667.64, 23,507.36 and 9,431.96

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Solution

The fourth proportional to 15,667.64, 23,507.36 and 9,431.96 is: 14,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.64 : 23,507.36 = 9,431.96 : x
  2. Step 2: Convert to fraction form
    15,667.64/23,507.36 = 9,431.96/x
  3. Step 3: Cross multiply
    15,667.64x = 23,507.36 × 9,431.96
  4. Step 4: Simplify right side
    15,667.64x = 221,720,479.23
  5. Step 5: Solve for x
    x = 221,720,479.23/15,667.64
  6. Step 6: Final answer
    x = 14,151.49

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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.