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Finding the Fourth Proportional to 12,289.40, 18,434.10 and 8,833.40

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Solution

The fourth proportional to 12,289.40, 18,434.10 and 8,833.40 is: 13,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.40 : 18,434.10 = 8,833.40 : x
  2. Step 2: Convert to fraction form
    12,289.40/18,434.10 = 8,833.40/x
  3. Step 3: Cross multiply
    12,289.40x = 18,434.10 × 8,833.40
  4. Step 4: Simplify right side
    12,289.40x = 162,835,778.94
  5. Step 5: Solve for x
    x = 162,835,778.94/12,289.40
  6. Step 6: Final answer
    x = 13,250.10

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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.