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Finding the Fourth Proportional to 10,238.76, 14,186.55 and 10,017.32

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Solution

The fourth proportional to 10,238.76, 14,186.55 and 10,017.32 is: 13,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.76 : 14,186.55 = 10,017.32 : x
  2. Step 2: Convert to fraction form
    10,238.76/14,186.55 = 10,017.32/x
  3. Step 3: Cross multiply
    10,238.76x = 14,186.55 × 10,017.32
  4. Step 4: Simplify right side
    10,238.76x = 142,111,211.05
  5. Step 5: Solve for x
    x = 142,111,211.05/10,238.76
  6. Step 6: Final answer
    x = 13,879.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.