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Finding the Fourth Proportional to 12,406.72, 18,695.36 and 10,263.48

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Solution

The fourth proportional to 12,406.72, 18,695.36 and 10,263.48 is: 15,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.72 : 18,695.36 = 10,263.48 : x
  2. Step 2: Convert to fraction form
    12,406.72/18,695.36 = 10,263.48/x
  3. Step 3: Cross multiply
    12,406.72x = 18,695.36 × 10,263.48
  4. Step 4: Simplify right side
    12,406.72x = 191,879,453.45
  5. Step 5: Solve for x
    x = 191,879,453.45/12,406.72
  6. Step 6: Final answer
    x = 15,465.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.