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Finding the Fourth Proportional to 17,748.22, 24,492.72 and 9,790.75

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Solution

The fourth proportional to 17,748.22, 24,492.72 and 9,790.75 is: 13,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748.22 : 24,492.72 = 9,790.75 : x
  2. Step 2: Convert to fraction form
    17,748.22/24,492.72 = 9,790.75/x
  3. Step 3: Cross multiply
    17,748.22x = 24,492.72 × 9,790.75
  4. Step 4: Simplify right side
    17,748.22x = 239,802,098.34
  5. Step 5: Solve for x
    x = 239,802,098.34/17,748.22
  6. Step 6: Final answer
    x = 13,511.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.