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Finding the Fourth Proportional to 12,824.48, 17,697.76 and 7,235.52

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Solution

The fourth proportional to 12,824.48, 17,697.76 and 7,235.52 is: 9,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.48 : 17,697.76 = 7,235.52 : x
  2. Step 2: Convert to fraction form
    12,824.48/17,697.76 = 7,235.52/x
  3. Step 3: Cross multiply
    12,824.48x = 17,697.76 × 7,235.52
  4. Step 4: Simplify right side
    12,824.48x = 128,052,496.44
  5. Step 5: Solve for x
    x = 128,052,496.44/12,824.48
  6. Step 6: Final answer
    x = 9,985.00

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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.