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Finding the Fourth Proportional to 14,523.92, 21,788.04 and 6,733.52

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Solution

The fourth proportional to 14,523.92, 21,788.04 and 6,733.52 is: 10,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.92 : 21,788.04 = 6,733.52 : x
  2. Step 2: Convert to fraction form
    14,523.92/21,788.04 = 6,733.52/x
  3. Step 3: Cross multiply
    14,523.92x = 21,788.04 × 6,733.52
  4. Step 4: Simplify right side
    14,523.92x = 146,710,203.10
  5. Step 5: Solve for x
    x = 146,710,203.10/14,523.92
  6. Step 6: Final answer
    x = 10,101.28

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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.