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Finding the Fourth Proportional to 25,840.72, 35,657.22 and 14,507.74

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Solution

The fourth proportional to 25,840.72, 35,657.22 and 14,507.74 is: 20,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.72 : 35,657.22 = 14,507.74 : x
  2. Step 2: Convert to fraction form
    25,840.72/35,657.22 = 14,507.74/x
  3. Step 3: Cross multiply
    25,840.72x = 35,657.22 × 14,507.74
  4. Step 4: Simplify right side
    25,840.72x = 517,305,676.88
  5. Step 5: Solve for x
    x = 517,305,676.88/25,840.72
  6. Step 6: Final answer
    x = 20,019.01

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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.