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Finding the Fourth Proportional to 12,784.42, 17,642.45 and 7,119.23

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Solution

The fourth proportional to 12,784.42, 17,642.45 and 7,119.23 is: 9,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.42 : 17,642.45 = 7,119.23 : x
  2. Step 2: Convert to fraction form
    12,784.42/17,642.45 = 7,119.23/x
  3. Step 3: Cross multiply
    12,784.42x = 17,642.45 × 7,119.23
  4. Step 4: Simplify right side
    12,784.42x = 125,600,659.31
  5. Step 5: Solve for x
    x = 125,600,659.31/12,784.42
  6. Step 6: Final answer
    x = 9,824.51

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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.