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Finding the Fourth Proportional to 17,685.25, 26,503.72 and 9,776.05

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Solution

The fourth proportional to 17,685.25, 26,503.72 and 9,776.05 is: 14,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.25 : 26,503.72 = 9,776.05 : x
  2. Step 2: Convert to fraction form
    17,685.25/26,503.72 = 9,776.05/x
  3. Step 3: Cross multiply
    17,685.25x = 26,503.72 × 9,776.05
  4. Step 4: Simplify right side
    17,685.25x = 259,101,643.03
  5. Step 5: Solve for x
    x = 259,101,643.03/17,685.25
  6. Step 6: Final answer
    x = 14,650.72

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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.