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Finding the Fourth Proportional to 14,700.29, 20,284.43 and 8,729.78

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Solution

The fourth proportional to 14,700.29, 20,284.43 and 8,729.78 is: 12,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.29 : 20,284.43 = 8,729.78 : x
  2. Step 2: Convert to fraction form
    14,700.29/20,284.43 = 8,729.78/x
  3. Step 3: Cross multiply
    14,700.29x = 20,284.43 × 8,729.78
  4. Step 4: Simplify right side
    14,700.29x = 177,078,466.25
  5. Step 5: Solve for x
    x = 177,078,466.25/14,700.29
  6. Step 6: Final answer
    x = 12,045.92

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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.