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Finding the Fourth Proportional to 12,346.73, 17,038.39 and 6,681.47

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Solution

The fourth proportional to 12,346.73, 17,038.39 and 6,681.47 is: 9,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.73 : 17,038.39 = 6,681.47 : x
  2. Step 2: Convert to fraction form
    12,346.73/17,038.39 = 6,681.47/x
  3. Step 3: Cross multiply
    12,346.73x = 17,038.39 × 6,681.47
  4. Step 4: Simplify right side
    12,346.73x = 113,841,491.63
  5. Step 5: Solve for x
    x = 113,841,491.63/12,346.73
  6. Step 6: Final answer
    x = 9,220.38

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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.