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Finding the Fourth Proportional to 14,554.63, 20,069.49 and 9,830.71

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Solution

The fourth proportional to 14,554.63, 20,069.49 and 9,830.71 is: 13,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.63 : 20,069.49 = 9,830.71 : x
  2. Step 2: Convert to fraction form
    14,554.63/20,069.49 = 9,830.71/x
  3. Step 3: Cross multiply
    14,554.63x = 20,069.49 × 9,830.71
  4. Step 4: Simplify right side
    14,554.63x = 197,297,336.04
  5. Step 5: Solve for x
    x = 197,297,336.04/14,554.63
  6. Step 6: Final answer
    x = 13,555.64

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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.