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Finding the Fourth Proportional to 17,784.82, 24,541.86 and 9,826.98

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Solution

The fourth proportional to 17,784.82, 24,541.86 and 9,826.98 is: 13,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.82 : 24,541.86 = 9,826.98 : x
  2. Step 2: Convert to fraction form
    17,784.82/24,541.86 = 9,826.98/x
  3. Step 3: Cross multiply
    17,784.82x = 24,541.86 × 9,826.98
  4. Step 4: Simplify right side
    17,784.82x = 241,172,367.38
  5. Step 5: Solve for x
    x = 241,172,367.38/17,784.82
  6. Step 6: Final answer
    x = 13,560.57

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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.