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Finding the Fourth Proportional to 22,095.36, 30,491.16 and 12,023.64

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Solution

The fourth proportional to 22,095.36, 30,491.16 and 12,023.64 is: 16,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.36 : 30,491.16 = 12,023.64 : x
  2. Step 2: Convert to fraction form
    22,095.36/30,491.16 = 12,023.64/x
  3. Step 3: Cross multiply
    22,095.36x = 30,491.16 × 12,023.64
  4. Step 4: Simplify right side
    22,095.36x = 366,614,731.02
  5. Step 5: Solve for x
    x = 366,614,731.02/22,095.36
  6. Step 6: Final answer
    x = 16,592.39

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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.