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Finding the Fourth Proportional to 13,143.63, 18,107.10 and 9,157.62

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Solution

The fourth proportional to 13,143.63, 18,107.10 and 9,157.62 is: 12,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.63 : 18,107.10 = 9,157.62 : x
  2. Step 2: Convert to fraction form
    13,143.63/18,107.10 = 9,157.62/x
  3. Step 3: Cross multiply
    13,143.63x = 18,107.10 × 9,157.62
  4. Step 4: Simplify right side
    13,143.63x = 165,817,941.10
  5. Step 5: Solve for x
    x = 165,817,941.10/13,143.63
  6. Step 6: Final answer
    x = 12,615.84

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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.