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Finding the Fourth Proportional to 11,784.93, 17,677.61 and 9,434.01

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Solution

The fourth proportional to 11,784.93, 17,677.61 and 9,434.01 is: 14,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.93 : 17,677.61 = 9,434.01 : x
  2. Step 2: Convert to fraction form
    11,784.93/17,677.61 = 9,434.01/x
  3. Step 3: Cross multiply
    11,784.93x = 17,677.61 × 9,434.01
  4. Step 4: Simplify right side
    11,784.93x = 166,770,749.52
  5. Step 5: Solve for x
    x = 166,770,749.52/11,784.93
  6. Step 6: Final answer
    x = 14,151.19

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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.