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Finding the Fourth Proportional to 17,657.24, 26,485.81 and 4,509.61

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Solution

The fourth proportional to 17,657.24, 26,485.81 and 4,509.61 is: 6,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.24 : 26,485.81 = 4,509.61 : x
  2. Step 2: Convert to fraction form
    17,657.24/26,485.81 = 4,509.61/x
  3. Step 3: Cross multiply
    17,657.24x = 26,485.81 × 4,509.61
  4. Step 4: Simplify right side
    17,657.24x = 119,440,596.15
  5. Step 5: Solve for x
    x = 119,440,596.15/17,657.24
  6. Step 6: Final answer
    x = 6,764.40

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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.