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Finding the Fourth Proportional to 12,343.77, 17,027.47 and 7,566.02

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Solution

The fourth proportional to 12,343.77, 17,027.47 and 7,566.02 is: 10,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.77 : 17,027.47 = 7,566.02 : x
  2. Step 2: Convert to fraction form
    12,343.77/17,027.47 = 7,566.02/x
  3. Step 3: Cross multiply
    12,343.77x = 17,027.47 × 7,566.02
  4. Step 4: Simplify right side
    12,343.77x = 128,830,178.57
  5. Step 5: Solve for x
    x = 128,830,178.57/12,343.77
  6. Step 6: Final answer
    x = 10,436.86

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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.