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Finding the Fourth Proportional to 17,946.63, 24,765.82 and 9,988.67

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Solution

The fourth proportional to 17,946.63, 24,765.82 and 9,988.67 is: 13,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.63 : 24,765.82 = 9,988.67 : x
  2. Step 2: Convert to fraction form
    17,946.63/24,765.82 = 9,988.67/x
  3. Step 3: Cross multiply
    17,946.63x = 24,765.82 × 9,988.67
  4. Step 4: Simplify right side
    17,946.63x = 247,377,640.20
  5. Step 5: Solve for x
    x = 247,377,640.20/17,946.63
  6. Step 6: Final answer
    x = 13,784.07

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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.