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Finding the Fourth Proportional to 27,705.83, 38,246.64 and 17,648.06

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Solution

The fourth proportional to 27,705.83, 38,246.64 and 17,648.06 is: 24,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.83 : 38,246.64 = 17,648.06 : x
  2. Step 2: Convert to fraction form
    27,705.83/38,246.64 = 17,648.06/x
  3. Step 3: Cross multiply
    27,705.83x = 38,246.64 × 17,648.06
  4. Step 4: Simplify right side
    27,705.83x = 674,979,026.95
  5. Step 5: Solve for x
    x = 674,979,026.95/27,705.83
  6. Step 6: Final answer
    x = 24,362.34

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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.