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Finding the Fourth Proportional to 12,602.42, 17,389.20 and 7,296.32

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Solution

The fourth proportional to 12,602.42, 17,389.20 and 7,296.32 is: 10,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.42 : 17,389.20 = 7,296.32 : x
  2. Step 2: Convert to fraction form
    12,602.42/17,389.20 = 7,296.32/x
  3. Step 3: Cross multiply
    12,602.42x = 17,389.20 × 7,296.32
  4. Step 4: Simplify right side
    12,602.42x = 126,877,167.74
  5. Step 5: Solve for x
    x = 126,877,167.74/12,602.42
  6. Step 6: Final answer
    x = 10,067.68

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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.