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Finding the Fourth Proportional to 13,532.86, 18,678.36 and 8,226.55

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Solution

The fourth proportional to 13,532.86, 18,678.36 and 8,226.55 is: 11,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.86 : 18,678.36 = 8,226.55 : x
  2. Step 2: Convert to fraction form
    13,532.86/18,678.36 = 8,226.55/x
  3. Step 3: Cross multiply
    13,532.86x = 18,678.36 × 8,226.55
  4. Step 4: Simplify right side
    13,532.86x = 153,658,462.46
  5. Step 5: Solve for x
    x = 153,658,462.46/13,532.86
  6. Step 6: Final answer
    x = 11,354.47

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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.