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Finding the Fourth Proportional to 12,524.76, 17,282.70 and 7,219.80

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Solution

The fourth proportional to 12,524.76, 17,282.70 and 7,219.80 is: 9,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.76 : 17,282.70 = 7,219.80 : x
  2. Step 2: Convert to fraction form
    12,524.76/17,282.70 = 7,219.80/x
  3. Step 3: Cross multiply
    12,524.76x = 17,282.70 × 7,219.80
  4. Step 4: Simplify right side
    12,524.76x = 124,777,637.46
  5. Step 5: Solve for x
    x = 124,777,637.46/12,524.76
  6. Step 6: Final answer
    x = 9,962.48

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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.