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Finding the Fourth Proportional to 12,784.85, 17,643.22 and 7,478.63

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Solution

The fourth proportional to 12,784.85, 17,643.22 and 7,478.63 is: 10,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.85 : 17,643.22 = 7,478.63 : x
  2. Step 2: Convert to fraction form
    12,784.85/17,643.22 = 7,478.63/x
  3. Step 3: Cross multiply
    12,784.85x = 17,643.22 × 7,478.63
  4. Step 4: Simplify right side
    12,784.85x = 131,947,007.48
  5. Step 5: Solve for x
    x = 131,947,007.48/12,784.85
  6. Step 6: Final answer
    x = 10,320.58

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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.