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Finding the Fourth Proportional to 14,754.69, 22,138.58 and 7,733.04

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Solution

The fourth proportional to 14,754.69, 22,138.58 and 7,733.04 is: 11,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754.69 : 22,138.58 = 7,733.04 : x
  2. Step 2: Convert to fraction form
    14,754.69/22,138.58 = 7,733.04/x
  3. Step 3: Cross multiply
    14,754.69x = 22,138.58 × 7,733.04
  4. Step 4: Simplify right side
    14,754.69x = 171,198,486.02
  5. Step 5: Solve for x
    x = 171,198,486.02/14,754.69
  6. Step 6: Final answer
    x = 11,602.99

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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.