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Finding the Fourth Proportional to 17,748.43, 24,492.99 and 9,790.93

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Solution

The fourth proportional to 17,748.43, 24,492.99 and 9,790.93 is: 13,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748.43 : 24,492.99 = 9,790.93 : x
  2. Step 2: Convert to fraction form
    17,748.43/24,492.99 = 9,790.93/x
  3. Step 3: Cross multiply
    17,748.43x = 24,492.99 × 9,790.93
  4. Step 4: Simplify right side
    17,748.43x = 239,809,150.58
  5. Step 5: Solve for x
    x = 239,809,150.58/17,748.43
  6. Step 6: Final answer
    x = 13,511.57

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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.