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Finding the Fourth Proportional to 25,475, 35,158.74 and 14,297

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Solution

The fourth proportional to 25,475, 35,158.74 and 14,297 is: 19,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,475 : 35,158.74 = 14,297 : x
  2. Step 2: Convert to fraction form
    25,475/35,158.74 = 14,297/x
  3. Step 3: Cross multiply
    25,475x = 35,158.74 × 14,297
  4. Step 4: Simplify right side
    25,475x = 502,664,505.78
  5. Step 5: Solve for x
    x = 502,664,505.78/25,475
  6. Step 6: Final answer
    x = 19,731.68

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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.