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Finding the Fourth Proportional to 12,612.16, 17,408.55 and 7,309.36

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Solution

The fourth proportional to 12,612.16, 17,408.55 and 7,309.36 is: 10,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.16 : 17,408.55 = 7,309.36 : x
  2. Step 2: Convert to fraction form
    12,612.16/17,408.55 = 7,309.36/x
  3. Step 3: Cross multiply
    12,612.16x = 17,408.55 × 7,309.36
  4. Step 4: Simplify right side
    12,612.16x = 127,245,359.03
  5. Step 5: Solve for x
    x = 127,245,359.03/12,612.16
  6. Step 6: Final answer
    x = 10,089.10

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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.