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Finding the Fourth Proportional to 12,238.36, 16,881.42 and 10,670.20

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Solution

The fourth proportional to 12,238.36, 16,881.42 and 10,670.20 is: 14,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.36 : 16,881.42 = 10,670.20 : x
  2. Step 2: Convert to fraction form
    12,238.36/16,881.42 = 10,670.20/x
  3. Step 3: Cross multiply
    12,238.36x = 16,881.42 × 10,670.20
  4. Step 4: Simplify right side
    12,238.36x = 180,128,127.68
  5. Step 5: Solve for x
    x = 180,128,127.68/12,238.36
  6. Step 6: Final answer
    x = 14,718.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.