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Finding the Fourth Proportional to 25,142.68, 34,699.62 and 16,076.26

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Solution

The fourth proportional to 25,142.68, 34,699.62 and 16,076.26 is: 22,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.68 : 34,699.62 = 16,076.26 : x
  2. Step 2: Convert to fraction form
    25,142.68/34,699.62 = 16,076.26/x
  3. Step 3: Cross multiply
    25,142.68x = 34,699.62 × 16,076.26
  4. Step 4: Simplify right side
    25,142.68x = 557,840,113.02
  5. Step 5: Solve for x
    x = 557,840,113.02/25,142.68
  6. Step 6: Final answer
    x = 22,186.98

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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.