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Finding the Fourth Proportional to 26,820.36, 37,014.20 and 14,886

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Solution

The fourth proportional to 26,820.36, 37,014.20 and 14,886 is: 20,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,820.36 : 37,014.20 = 14,886 : x
  2. Step 2: Convert to fraction form
    26,820.36/37,014.20 = 14,886/x
  3. Step 3: Cross multiply
    26,820.36x = 37,014.20 × 14,886
  4. Step 4: Simplify right side
    26,820.36x = 550,993,381.20
  5. Step 5: Solve for x
    x = 550,993,381.20/26,820.36
  6. Step 6: Final answer
    x = 20,543.85

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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.