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Finding the Fourth Proportional to 12,689.63, 17,511.44 and 7,024.38

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Solution

The fourth proportional to 12,689.63, 17,511.44 and 7,024.38 is: 9,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.63 : 17,511.44 = 7,024.38 : x
  2. Step 2: Convert to fraction form
    12,689.63/17,511.44 = 7,024.38/x
  3. Step 3: Cross multiply
    12,689.63x = 17,511.44 × 7,024.38
  4. Step 4: Simplify right side
    12,689.63x = 123,006,937.72
  5. Step 5: Solve for x
    x = 123,006,937.72/12,689.63
  6. Step 6: Final answer
    x = 9,693.50

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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.