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Finding the Fourth Proportional to 12,346.91, 17,038.73 and 6,681.66

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Solution

The fourth proportional to 12,346.91, 17,038.73 and 6,681.66 is: 9,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.91 : 17,038.73 = 6,681.66 : x
  2. Step 2: Convert to fraction form
    12,346.91/17,038.73 = 6,681.66/x
  3. Step 3: Cross multiply
    12,346.91x = 17,038.73 × 6,681.66
  4. Step 4: Simplify right side
    12,346.91x = 113,846,980.74
  5. Step 5: Solve for x
    x = 113,846,980.74/12,346.91
  6. Step 6: Final answer
    x = 9,220.69

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