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Finding the Fourth Proportional to 28,289.64, 39,021.74 and 17,383

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Solution

The fourth proportional to 28,289.64, 39,021.74 and 17,383 is: 23,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,289.64 : 39,021.74 = 17,383 : x
  2. Step 2: Convert to fraction form
    28,289.64/39,021.74 = 17,383/x
  3. Step 3: Cross multiply
    28,289.64x = 39,021.74 × 17,383
  4. Step 4: Simplify right side
    28,289.64x = 678,314,906.42
  5. Step 5: Solve for x
    x = 678,314,906.42/28,289.64
  6. Step 6: Final answer
    x = 23,977.50

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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.