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Finding the Fourth Proportional to 17,868.70, 24,586.32 and 14,670.22

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Solution

The fourth proportional to 17,868.70, 24,586.32 and 14,670.22 is: 20,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868.70 : 24,586.32 = 14,670.22 : x
  2. Step 2: Convert to fraction form
    17,868.70/24,586.32 = 14,670.22/x
  3. Step 3: Cross multiply
    17,868.70x = 24,586.32 × 14,670.22
  4. Step 4: Simplify right side
    17,868.70x = 360,686,723.39
  5. Step 5: Solve for x
    x = 360,686,723.39/17,868.70
  6. Step 6: Final answer
    x = 20,185.39

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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.