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Finding the Fourth Proportional to 12,341.14, 17,023.85 and 7,563.40

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Solution

The fourth proportional to 12,341.14, 17,023.85 and 7,563.40 is: 10,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.14 : 17,023.85 = 7,563.40 : x
  2. Step 2: Convert to fraction form
    12,341.14/17,023.85 = 7,563.40/x
  3. Step 3: Cross multiply
    12,341.14x = 17,023.85 × 7,563.40
  4. Step 4: Simplify right side
    12,341.14x = 128,758,149.26
  5. Step 5: Solve for x
    x = 128,758,149.26/12,341.14
  6. Step 6: Final answer
    x = 10,433.25

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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.