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Finding the Fourth Proportional to 14,774, 22,161.02 and 14,402.20

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Solution

The fourth proportional to 14,774, 22,161.02 and 14,402.20 is: 21,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774 : 22,161.02 = 14,402.20 : x
  2. Step 2: Convert to fraction form
    14,774/22,161.02 = 14,402.20/x
  3. Step 3: Cross multiply
    14,774x = 22,161.02 × 14,402.20
  4. Step 4: Simplify right side
    14,774x = 319,167,442.24
  5. Step 5: Solve for x
    x = 319,167,442.24/14,774
  6. Step 6: Final answer
    x = 21,603.32

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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.