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Finding the Fourth Proportional to 12,365.41, 17,064.27 and 6,700.20

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Solution

The fourth proportional to 12,365.41, 17,064.27 and 6,700.20 is: 9,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.41 : 17,064.27 = 6,700.20 : x
  2. Step 2: Convert to fraction form
    12,365.41/17,064.27 = 6,700.20/x
  3. Step 3: Cross multiply
    12,365.41x = 17,064.27 × 6,700.20
  4. Step 4: Simplify right side
    12,365.41x = 114,333,903.03
  5. Step 5: Solve for x
    x = 114,333,903.03/12,365.41
  6. Step 6: Final answer
    x = 9,246.27

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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.