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Finding the Fourth Proportional to 17,767.46, 24,509.39 and 12,381.37

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Solution

The fourth proportional to 17,767.46, 24,509.39 and 12,381.37 is: 17,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.46 : 24,509.39 = 12,381.37 : x
  2. Step 2: Convert to fraction form
    17,767.46/24,509.39 = 12,381.37/x
  3. Step 3: Cross multiply
    17,767.46x = 24,509.39 × 12,381.37
  4. Step 4: Simplify right side
    17,767.46x = 303,459,795.74
  5. Step 5: Solve for x
    x = 303,459,795.74/17,767.46
  6. Step 6: Final answer
    x = 17,079.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.