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Finding the Fourth Proportional to 29,794.42, 44,623.59 and 14,222.98

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Solution

The fourth proportional to 29,794.42, 44,623.59 and 14,222.98 is: 21,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,794.42 : 44,623.59 = 14,222.98 : x
  2. Step 2: Convert to fraction form
    29,794.42/44,623.59 = 14,222.98/x
  3. Step 3: Cross multiply
    29,794.42x = 44,623.59 × 14,222.98
  4. Step 4: Simplify right side
    29,794.42x = 634,680,428.10
  5. Step 5: Solve for x
    x = 634,680,428.10/29,794.42
  6. Step 6: Final answer
    x = 21,301.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.