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Finding the Fourth Proportional to 27,782.92, 38,342.46 and 18,335.08

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Solution

The fourth proportional to 27,782.92, 38,342.46 and 18,335.08 is: 25,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.92 : 38,342.46 = 18,335.08 : x
  2. Step 2: Convert to fraction form
    27,782.92/38,342.46 = 18,335.08/x
  3. Step 3: Cross multiply
    27,782.92x = 38,342.46 × 18,335.08
  4. Step 4: Simplify right side
    27,782.92x = 703,012,071.50
  5. Step 5: Solve for x
    x = 703,012,071.50/27,782.92
  6. Step 6: Final answer
    x = 25,303.75

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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.