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Finding the Fourth Proportional to 14,522.63, 20,038.16 and 9,494.24

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Solution

The fourth proportional to 14,522.63, 20,038.16 and 9,494.24 is: 13,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.63 : 20,038.16 = 9,494.24 : x
  2. Step 2: Convert to fraction form
    14,522.63/20,038.16 = 9,494.24/x
  3. Step 3: Cross multiply
    14,522.63x = 20,038.16 × 9,494.24
  4. Step 4: Simplify right side
    14,522.63x = 190,246,952.54
  5. Step 5: Solve for x
    x = 190,246,952.54/14,522.63
  6. Step 6: Final answer
    x = 13,100.04

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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.