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Finding the Fourth Proportional to 17,406.66, 24,002.82 and 12,365.64

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Solution

The fourth proportional to 17,406.66, 24,002.82 and 12,365.64 is: 17,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.66 : 24,002.82 = 12,365.64 : x
  2. Step 2: Convert to fraction form
    17,406.66/24,002.82 = 12,365.64/x
  3. Step 3: Cross multiply
    17,406.66x = 24,002.82 × 12,365.64
  4. Step 4: Simplify right side
    17,406.66x = 296,810,231.10
  5. Step 5: Solve for x
    x = 296,810,231.10/17,406.66
  6. Step 6: Final answer
    x = 17,051.53

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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.