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Finding the Fourth Proportional to 17,705.70, 24,434.58 and 9,748.68

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Solution

The fourth proportional to 17,705.70, 24,434.58 and 9,748.68 is: 13,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.70 : 24,434.58 = 9,748.68 : x
  2. Step 2: Convert to fraction form
    17,705.70/24,434.58 = 9,748.68/x
  3. Step 3: Cross multiply
    17,705.70x = 24,434.58 × 9,748.68
  4. Step 4: Simplify right side
    17,705.70x = 238,204,901.35
  5. Step 5: Solve for x
    x = 238,204,901.35/17,705.70
  6. Step 6: Final answer
    x = 13,453.57

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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.