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Finding the Fourth Proportional to 22,434.49, 30,961.40 and 12,364.98

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Solution

The fourth proportional to 22,434.49, 30,961.40 and 12,364.98 is: 17,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434.49 : 30,961.40 = 12,364.98 : x
  2. Step 2: Convert to fraction form
    22,434.49/30,961.40 = 12,364.98/x
  3. Step 3: Cross multiply
    22,434.49x = 30,961.40 × 12,364.98
  4. Step 4: Simplify right side
    22,434.49x = 382,837,091.77
  5. Step 5: Solve for x
    x = 382,837,091.77/22,434.49
  6. Step 6: Final answer
    x = 17,064.67

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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.