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Finding the Fourth Proportional to 12,448.33, 17,178.48 and 6,783.12

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Solution

The fourth proportional to 12,448.33, 17,178.48 and 6,783.12 is: 9,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.33 : 17,178.48 = 6,783.12 : x
  2. Step 2: Convert to fraction form
    12,448.33/17,178.48 = 6,783.12/x
  3. Step 3: Cross multiply
    12,448.33x = 17,178.48 × 6,783.12
  4. Step 4: Simplify right side
    12,448.33x = 116,523,691.26
  5. Step 5: Solve for x
    x = 116,523,691.26/12,448.33
  6. Step 6: Final answer
    x = 9,360.59

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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.