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Finding the Fourth Proportional to 27,565.64, 38,051.39 and 19,541.23

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Solution

The fourth proportional to 27,565.64, 38,051.39 and 19,541.23 is: 26,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.64 : 38,051.39 = 19,541.23 : x
  2. Step 2: Convert to fraction form
    27,565.64/38,051.39 = 19,541.23/x
  3. Step 3: Cross multiply
    27,565.64x = 38,051.39 × 19,541.23
  4. Step 4: Simplify right side
    27,565.64x = 743,570,963.81
  5. Step 5: Solve for x
    x = 743,570,963.81/27,565.64
  6. Step 6: Final answer
    x = 26,974.56

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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.