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Finding the Fourth Proportional to 25,634.84, 35,376.93 and 14,878.91

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Solution

The fourth proportional to 25,634.84, 35,376.93 and 14,878.91 is: 20,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634.84 : 35,376.93 = 14,878.91 : x
  2. Step 2: Convert to fraction form
    25,634.84/35,376.93 = 14,878.91/x
  3. Step 3: Cross multiply
    25,634.84x = 35,376.93 × 14,878.91
  4. Step 4: Simplify right side
    25,634.84x = 526,369,906.27
  5. Step 5: Solve for x
    x = 526,369,906.27/25,634.84
  6. Step 6: Final answer
    x = 20,533.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.