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Finding the Fourth Proportional to 12,524.72, 17,284.32 and 6,859.35

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Solution

The fourth proportional to 12,524.72, 17,284.32 and 6,859.35 is: 9,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.72 : 17,284.32 = 6,859.35 : x
  2. Step 2: Convert to fraction form
    12,524.72/17,284.32 = 6,859.35/x
  3. Step 3: Cross multiply
    12,524.72x = 17,284.32 × 6,859.35
  4. Step 4: Simplify right side
    12,524.72x = 118,559,200.39
  5. Step 5: Solve for x
    x = 118,559,200.39/12,524.72
  6. Step 6: Final answer
    x = 9,466.02

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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.