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Finding the Fourth Proportional to 18,565.24, 27,853.64 and 6,085.36

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Solution

The fourth proportional to 18,565.24, 27,853.64 and 6,085.36 is: 9,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.24 : 27,853.64 = 6,085.36 : x
  2. Step 2: Convert to fraction form
    18,565.24/27,853.64 = 6,085.36/x
  3. Step 3: Cross multiply
    18,565.24x = 27,853.64 × 6,085.36
  4. Step 4: Simplify right side
    18,565.24x = 169,499,426.71
  5. Step 5: Solve for x
    x = 169,499,426.71/18,565.24
  6. Step 6: Final answer
    x = 9,129.93

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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.