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Finding the Fourth Proportional to 27,133.42, 40,693.36 and 7,412.08

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Solution

The fourth proportional to 27,133.42, 40,693.36 and 7,412.08 is: 11,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.42 : 40,693.36 = 7,412.08 : x
  2. Step 2: Convert to fraction form
    27,133.42/40,693.36 = 7,412.08/x
  3. Step 3: Cross multiply
    27,133.42x = 40,693.36 × 7,412.08
  4. Step 4: Simplify right side
    27,133.42x = 301,622,439.79
  5. Step 5: Solve for x
    x = 301,622,439.79/27,133.42
  6. Step 6: Final answer
    x = 11,116.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.