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Finding the Fourth Proportional to 12,524.84, 17,284.28 and 6,859.60

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Solution

The fourth proportional to 12,524.84, 17,284.28 and 6,859.60 is: 9,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.84 : 17,284.28 = 6,859.60 : x
  2. Step 2: Convert to fraction form
    12,524.84/17,284.28 = 6,859.60/x
  3. Step 3: Cross multiply
    12,524.84x = 17,284.28 × 6,859.60
  4. Step 4: Simplify right side
    12,524.84x = 118,563,247.09
  5. Step 5: Solve for x
    x = 118,563,247.09/12,524.84
  6. Step 6: Final answer
    x = 9,466.25

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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.