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Finding the Fourth Proportional to 22,929, 31,642.02 and 13,503.36

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Solution

The fourth proportional to 22,929, 31,642.02 and 13,503.36 is: 18,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929 : 31,642.02 = 13,503.36 : x
  2. Step 2: Convert to fraction form
    22,929/31,642.02 = 13,503.36/x
  3. Step 3: Cross multiply
    22,929x = 31,642.02 × 13,503.36
  4. Step 4: Simplify right side
    22,929x = 427,273,587.19
  5. Step 5: Solve for x
    x = 427,273,587.19/22,929
  6. Step 6: Final answer
    x = 18,634.64

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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.