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Finding the Fourth Proportional to 17,762.55, 26,643.84 and 4,614.81

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Solution

The fourth proportional to 17,762.55, 26,643.84 and 4,614.81 is: 6,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.55 : 26,643.84 = 4,614.81 : x
  2. Step 2: Convert to fraction form
    17,762.55/26,643.84 = 4,614.81/x
  3. Step 3: Cross multiply
    17,762.55x = 26,643.84 × 4,614.81
  4. Step 4: Simplify right side
    17,762.55x = 122,956,259.27
  5. Step 5: Solve for x
    x = 122,956,259.27/17,762.55
  6. Step 6: Final answer
    x = 6,922.22

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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.