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Finding the Fourth Proportional to 25,706.82, 35,477.20 and 14,380.05

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Solution

The fourth proportional to 25,706.82, 35,477.20 and 14,380.05 is: 19,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.82 : 35,477.20 = 14,380.05 : x
  2. Step 2: Convert to fraction form
    25,706.82/35,477.20 = 14,380.05/x
  3. Step 3: Cross multiply
    25,706.82x = 35,477.20 × 14,380.05
  4. Step 4: Simplify right side
    25,706.82x = 510,163,696.52
  5. Step 5: Solve for x
    x = 510,163,696.52/25,706.82
  6. Step 6: Final answer
    x = 19,845.46

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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.