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Finding the Fourth Proportional to 25,697.84, 35,462.76 and 16,274.12

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Solution

The fourth proportional to 25,697.84, 35,462.76 and 16,274.12 is: 22,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.84 : 35,462.76 = 16,274.12 : x
  2. Step 2: Convert to fraction form
    25,697.84/35,462.76 = 16,274.12/x
  3. Step 3: Cross multiply
    25,697.84x = 35,462.76 × 16,274.12
  4. Step 4: Simplify right side
    25,697.84x = 577,125,211.77
  5. Step 5: Solve for x
    x = 577,125,211.77/25,697.84
  6. Step 6: Final answer
    x = 22,458.12

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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.