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Finding the Fourth Proportional to 12,378.36, 18,545.93 and 10,311.64

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Solution

The fourth proportional to 12,378.36, 18,545.93 and 10,311.64 is: 15,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.36 : 18,545.93 = 10,311.64 : x
  2. Step 2: Convert to fraction form
    12,378.36/18,545.93 = 10,311.64/x
  3. Step 3: Cross multiply
    12,378.36x = 18,545.93 × 10,311.64
  4. Step 4: Simplify right side
    12,378.36x = 191,238,953.63
  5. Step 5: Solve for x
    x = 191,238,953.63/12,378.36
  6. Step 6: Final answer
    x = 15,449.46

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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.