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Finding the Fourth Proportional to 19,036.77, 28,538.74 and 9,182.97

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Solution

The fourth proportional to 19,036.77, 28,538.74 and 9,182.97 is: 13,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,036.77 : 28,538.74 = 9,182.97 : x
  2. Step 2: Convert to fraction form
    19,036.77/28,538.74 = 9,182.97/x
  3. Step 3: Cross multiply
    19,036.77x = 28,538.74 × 9,182.97
  4. Step 4: Simplify right side
    19,036.77x = 262,070,393.26
  5. Step 5: Solve for x
    x = 262,070,393.26/19,036.77
  6. Step 6: Final answer
    x = 13,766.54

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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.