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Finding the Fourth Proportional to 11,705.49, 17,539.74 and 9,503.46

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Solution

The fourth proportional to 11,705.49, 17,539.74 and 9,503.46 is: 14,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.49 : 17,539.74 = 9,503.46 : x
  2. Step 2: Convert to fraction form
    11,705.49/17,539.74 = 9,503.46/x
  3. Step 3: Cross multiply
    11,705.49x = 17,539.74 × 9,503.46
  4. Step 4: Simplify right side
    11,705.49x = 166,688,217.50
  5. Step 5: Solve for x
    x = 166,688,217.50/11,705.49
  6. Step 6: Final answer
    x = 14,240.17

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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.