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Finding the Fourth Proportional to 15,833.64, 21,850.65 and 9,120.47

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Solution

The fourth proportional to 15,833.64, 21,850.65 and 9,120.47 is: 12,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.64 : 21,850.65 = 9,120.47 : x
  2. Step 2: Convert to fraction form
    15,833.64/21,850.65 = 9,120.47/x
  3. Step 3: Cross multiply
    15,833.64x = 21,850.65 × 9,120.47
  4. Step 4: Simplify right side
    15,833.64x = 199,288,197.81
  5. Step 5: Solve for x
    x = 199,288,197.81/15,833.64
  6. Step 6: Final answer
    x = 12,586.38

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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.