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Finding the Fourth Proportional to 17,475, 26,203.59 and 5,784

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Solution

The fourth proportional to 17,475, 26,203.59 and 5,784 is: 8,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475 : 26,203.59 = 5,784 : x
  2. Step 2: Convert to fraction form
    17,475/26,203.59 = 5,784/x
  3. Step 3: Cross multiply
    17,475x = 26,203.59 × 5,784
  4. Step 4: Simplify right side
    17,475x = 151,561,564.56
  5. Step 5: Solve for x
    x = 151,561,564.56/17,475
  6. Step 6: Final answer
    x = 8,673.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.