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Finding the Fourth Proportional to 22,026.44, 30,421.71 and 14,506.38

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Solution

The fourth proportional to 22,026.44, 30,421.71 and 14,506.38 is: 20,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026.44 : 30,421.71 = 14,506.38 : x
  2. Step 2: Convert to fraction form
    22,026.44/30,421.71 = 14,506.38/x
  3. Step 3: Cross multiply
    22,026.44x = 30,421.71 × 14,506.38
  4. Step 4: Simplify right side
    22,026.44x = 441,308,885.51
  5. Step 5: Solve for x
    x = 441,308,885.51/22,026.44
  6. Step 6: Final answer
    x = 20,035.42

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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.