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Finding the Fourth Proportional to 17,749, 26,623.50 and 5,437

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Solution

The fourth proportional to 17,749, 26,623.50 and 5,437 is: 8,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749 : 26,623.50 = 5,437 : x
  2. Step 2: Convert to fraction form
    17,749/26,623.50 = 5,437/x
  3. Step 3: Cross multiply
    17,749x = 26,623.50 × 5,437
  4. Step 4: Simplify right side
    17,749x = 144,751,969.50
  5. Step 5: Solve for x
    x = 144,751,969.50/17,749
  6. Step 6: Final answer
    x = 8,155.50

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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.