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Finding the Fourth Proportional to 12,346.24, 17,045.76 and 11,017.66

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Solution

The fourth proportional to 12,346.24, 17,045.76 and 11,017.66 is: 15,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.24 : 17,045.76 = 11,017.66 : x
  2. Step 2: Convert to fraction form
    12,346.24/17,045.76 = 11,017.66/x
  3. Step 3: Cross multiply
    12,346.24x = 17,045.76 × 11,017.66
  4. Step 4: Simplify right side
    12,346.24x = 187,804,388.12
  5. Step 5: Solve for x
    x = 187,804,388.12/12,346.24
  6. Step 6: Final answer
    x = 15,211.46

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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.