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Finding the Fourth Proportional to 25,672.14, 35,424.06 and 14,340.20

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Solution

The fourth proportional to 25,672.14, 35,424.06 and 14,340.20 is: 19,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672.14 : 35,424.06 = 14,340.20 : x
  2. Step 2: Convert to fraction form
    25,672.14/35,424.06 = 14,340.20/x
  3. Step 3: Cross multiply
    25,672.14x = 35,424.06 × 14,340.20
  4. Step 4: Simplify right side
    25,672.14x = 507,987,874.32
  5. Step 5: Solve for x
    x = 507,987,874.32/25,672.14
  6. Step 6: Final answer
    x = 19,787.52

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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.