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Finding the Fourth Proportional to 27,762.78, 38,318.22 and 19,282.62

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Solution

The fourth proportional to 27,762.78, 38,318.22 and 19,282.62 is: 26,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.78 : 38,318.22 = 19,282.62 : x
  2. Step 2: Convert to fraction form
    27,762.78/38,318.22 = 19,282.62/x
  3. Step 3: Cross multiply
    27,762.78x = 38,318.22 × 19,282.62
  4. Step 4: Simplify right side
    27,762.78x = 738,875,675.34
  5. Step 5: Solve for x
    x = 738,875,675.34/27,762.78
  6. Step 6: Final answer
    x = 26,613.89

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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.