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Finding the Fourth Proportional to 27,138.51, 40,734 and 13,108.37

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Solution

The fourth proportional to 27,138.51, 40,734 and 13,108.37 is: 19,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.51 : 40,734 = 13,108.37 : x
  2. Step 2: Convert to fraction form
    27,138.51/40,734 = 13,108.37/x
  3. Step 3: Cross multiply
    27,138.51x = 40,734 × 13,108.37
  4. Step 4: Simplify right side
    27,138.51x = 533,956,139.91
  5. Step 5: Solve for x
    x = 533,956,139.91/27,138.51
  6. Step 6: Final answer
    x = 19,675.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.