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Finding the Fourth Proportional to 22,738.56, 31,378.74 and 12,666.98

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Solution

The fourth proportional to 22,738.56, 31,378.74 and 12,666.98 is: 17,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,738.56 : 31,378.74 = 12,666.98 : x
  2. Step 2: Convert to fraction form
    22,738.56/31,378.74 = 12,666.98/x
  3. Step 3: Cross multiply
    22,738.56x = 31,378.74 × 12,666.98
  4. Step 4: Simplify right side
    22,738.56x = 397,473,872.01
  5. Step 5: Solve for x
    x = 397,473,872.01/22,738.56
  6. Step 6: Final answer
    x = 17,480.17

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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.