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Finding the Fourth Proportional to 12,424.26, 18,632.40 and 4,102.40

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Solution

The fourth proportional to 12,424.26, 18,632.40 and 4,102.40 is: 6,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.26 : 18,632.40 = 4,102.40 : x
  2. Step 2: Convert to fraction form
    12,424.26/18,632.40 = 4,102.40/x
  3. Step 3: Cross multiply
    12,424.26x = 18,632.40 × 4,102.40
  4. Step 4: Simplify right side
    12,424.26x = 76,437,557.76
  5. Step 5: Solve for x
    x = 76,437,557.76/12,424.26
  6. Step 6: Final answer
    x = 6,152.28

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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.