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Finding the Fourth Proportional to 12,032.36, 18,048.54 and 5,102.36

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Solution

The fourth proportional to 12,032.36, 18,048.54 and 5,102.36 is: 7,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.36 : 18,048.54 = 5,102.36 : x
  2. Step 2: Convert to fraction form
    12,032.36/18,048.54 = 5,102.36/x
  3. Step 3: Cross multiply
    12,032.36x = 18,048.54 × 5,102.36
  4. Step 4: Simplify right side
    12,032.36x = 92,090,148.55
  5. Step 5: Solve for x
    x = 92,090,148.55/12,032.36
  6. Step 6: Final answer
    x = 7,653.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.