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Finding the Fourth Proportional to 13,138.66, 18,128.07 and 8,429.32

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Solution

The fourth proportional to 13,138.66, 18,128.07 and 8,429.32 is: 11,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.66 : 18,128.07 = 8,429.32 : x
  2. Step 2: Convert to fraction form
    13,138.66/18,128.07 = 8,429.32/x
  3. Step 3: Cross multiply
    13,138.66x = 18,128.07 × 8,429.32
  4. Step 4: Simplify right side
    13,138.66x = 152,807,303.01
  5. Step 5: Solve for x
    x = 152,807,303.01/13,138.66
  6. Step 6: Final answer
    x = 11,630.36

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