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Finding the Fourth Proportional to 25,642.89, 35,387.22 and 14,157.81

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Solution

The fourth proportional to 25,642.89, 35,387.22 and 14,157.81 is: 19,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.89 : 35,387.22 = 14,157.81 : x
  2. Step 2: Convert to fraction form
    25,642.89/35,387.22 = 14,157.81/x
  3. Step 3: Cross multiply
    25,642.89x = 35,387.22 × 14,157.81
  4. Step 4: Simplify right side
    25,642.89x = 501,005,537.19
  5. Step 5: Solve for x
    x = 501,005,537.19/25,642.89
  6. Step 6: Final answer
    x = 19,537.80

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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.