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Finding the Fourth Proportional to 14,522.63, 20,047.35 and 9,813.29

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Solution

The fourth proportional to 14,522.63, 20,047.35 and 9,813.29 is: 13,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.63 : 20,047.35 = 9,813.29 : x
  2. Step 2: Convert to fraction form
    14,522.63/20,047.35 = 9,813.29/x
  3. Step 3: Cross multiply
    14,522.63x = 20,047.35 × 9,813.29
  4. Step 4: Simplify right side
    14,522.63x = 196,730,359.04
  5. Step 5: Solve for x
    x = 196,730,359.04/14,522.63
  6. Step 6: Final answer
    x = 13,546.47

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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.