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Finding the Fourth Proportional to 19,852.93, 27,378.76 and 13,489.05

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Solution

The fourth proportional to 19,852.93, 27,378.76 and 13,489.05 is: 18,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.93 : 27,378.76 = 13,489.05 : x
  2. Step 2: Convert to fraction form
    19,852.93/27,378.76 = 13,489.05/x
  3. Step 3: Cross multiply
    19,852.93x = 27,378.76 × 13,489.05
  4. Step 4: Simplify right side
    19,852.93x = 369,313,479.44
  5. Step 5: Solve for x
    x = 369,313,479.44/19,852.93
  6. Step 6: Final answer
    x = 18,602.47

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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.