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Finding the Fourth Proportional to 27,846.96, 38,419.21 and 15,746.00

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Solution

The fourth proportional to 27,846.96, 38,419.21 and 15,746.00 is: 21,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.96 : 38,419.21 = 15,746.00 : x
  2. Step 2: Convert to fraction form
    27,846.96/38,419.21 = 15,746.00/x
  3. Step 3: Cross multiply
    27,846.96x = 38,419.21 × 15,746.00
  4. Step 4: Simplify right side
    27,846.96x = 604,948,708.25
  5. Step 5: Solve for x
    x = 604,948,708.25/27,846.96
  6. Step 6: Final answer
    x = 21,724.05

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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.