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Finding the Fourth Proportional to 27,681.06, 38,201.01 and 15,746.46

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Solution

The fourth proportional to 27,681.06, 38,201.01 and 15,746.46 is: 21,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.06 : 38,201.01 = 15,746.46 : x
  2. Step 2: Convert to fraction form
    27,681.06/38,201.01 = 15,746.46/x
  3. Step 3: Cross multiply
    27,681.06x = 38,201.01 × 15,746.46
  4. Step 4: Simplify right side
    27,681.06x = 601,530,675.92
  5. Step 5: Solve for x
    x = 601,530,675.92/27,681.06
  6. Step 6: Final answer
    x = 21,730.77

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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.