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Finding the Fourth Proportional to 14,682, 22,023 and 4,293.75

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Solution

The fourth proportional to 14,682, 22,023 and 4,293.75 is: 6,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682 : 22,023 = 4,293.75 : x
  2. Step 2: Convert to fraction form
    14,682/22,023 = 4,293.75/x
  3. Step 3: Cross multiply
    14,682x = 22,023 × 4,293.75
  4. Step 4: Simplify right side
    14,682x = 94,561,256.25
  5. Step 5: Solve for x
    x = 94,561,256.25/14,682
  6. Step 6: Final answer
    x = 6,440.63

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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.