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Finding the Fourth Proportional to 17,705.50, 24,434.76 and 10,253.50

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Solution

The fourth proportional to 17,705.50, 24,434.76 and 10,253.50 is: 14,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.50 : 24,434.76 = 10,253.50 : x
  2. Step 2: Convert to fraction form
    17,705.50/24,434.76 = 10,253.50/x
  3. Step 3: Cross multiply
    17,705.50x = 24,434.76 × 10,253.50
  4. Step 4: Simplify right side
    17,705.50x = 250,541,811.66
  5. Step 5: Solve for x
    x = 250,541,811.66/17,705.50
  6. Step 6: Final answer
    x = 14,150.51

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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.