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Finding the Fourth Proportional to 24,475, 33,775.50 and 13,297

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Solution

The fourth proportional to 24,475, 33,775.50 and 13,297 is: 18,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475 : 33,775.50 = 13,297 : x
  2. Step 2: Convert to fraction form
    24,475/33,775.50 = 13,297/x
  3. Step 3: Cross multiply
    24,475x = 33,775.50 × 13,297
  4. Step 4: Simplify right side
    24,475x = 449,112,823.50
  5. Step 5: Solve for x
    x = 449,112,823.50/24,475
  6. Step 6: Final answer
    x = 18,349.86

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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.