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Finding the Fourth Proportional to 22,646.91, 33,935.73 and 9,492.11

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Solution

The fourth proportional to 22,646.91, 33,935.73 and 9,492.11 is: 14,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.91 : 33,935.73 = 9,492.11 : x
  2. Step 2: Convert to fraction form
    22,646.91/33,935.73 = 9,492.11/x
  3. Step 3: Cross multiply
    22,646.91x = 33,935.73 × 9,492.11
  4. Step 4: Simplify right side
    22,646.91x = 322,121,682.09
  5. Step 5: Solve for x
    x = 322,121,682.09/22,646.91
  6. Step 6: Final answer
    x = 14,223.65

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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.