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Finding the Fourth Proportional to 17,850.39, 24,633.22 and 9,783.98

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Solution

The fourth proportional to 17,850.39, 24,633.22 and 9,783.98 is: 13,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.39 : 24,633.22 = 9,783.98 : x
  2. Step 2: Convert to fraction form
    17,850.39/24,633.22 = 9,783.98/x
  3. Step 3: Cross multiply
    17,850.39x = 24,633.22 × 9,783.98
  4. Step 4: Simplify right side
    17,850.39x = 241,010,931.82
  5. Step 5: Solve for x
    x = 241,010,931.82/17,850.39
  6. Step 6: Final answer
    x = 13,501.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.