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Finding the Fourth Proportional to 12,784.76, 17,644.16 and 7,479.24

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Solution

The fourth proportional to 12,784.76, 17,644.16 and 7,479.24 is: 10,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.76 : 17,644.16 = 7,479.24 : x
  2. Step 2: Convert to fraction form
    12,784.76/17,644.16 = 7,479.24/x
  3. Step 3: Cross multiply
    12,784.76x = 17,644.16 × 7,479.24
  4. Step 4: Simplify right side
    12,784.76x = 131,964,907.24
  5. Step 5: Solve for x
    x = 131,964,907.24/12,784.76
  6. Step 6: Final answer
    x = 10,322.05

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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.