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Finding the Fourth Proportional to 22,386.83, 30,894.86 and 12,315.09

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Solution

The fourth proportional to 22,386.83, 30,894.86 and 12,315.09 is: 16,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,386.83 : 30,894.86 = 12,315.09 : x
  2. Step 2: Convert to fraction form
    22,386.83/30,894.86 = 12,315.09/x
  3. Step 3: Cross multiply
    22,386.83x = 30,894.86 × 12,315.09
  4. Step 4: Simplify right side
    22,386.83x = 380,473,012.23
  5. Step 5: Solve for x
    x = 380,473,012.23/22,386.83
  6. Step 6: Final answer
    x = 16,995.39

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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.