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Finding the Fourth Proportional to 22,335.39, 30,823.32 and 12,776.15

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Solution

The fourth proportional to 22,335.39, 30,823.32 and 12,776.15 is: 17,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.39 : 30,823.32 = 12,776.15 : x
  2. Step 2: Convert to fraction form
    22,335.39/30,823.32 = 12,776.15/x
  3. Step 3: Cross multiply
    22,335.39x = 30,823.32 × 12,776.15
  4. Step 4: Simplify right side
    22,335.39x = 393,803,359.82
  5. Step 5: Solve for x
    x = 393,803,359.82/22,335.39
  6. Step 6: Final answer
    x = 17,631.36

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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.