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Finding the Fourth Proportional to 12,913.56, 17,849.16 and 9,401.40

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Solution

The fourth proportional to 12,913.56, 17,849.16 and 9,401.40 is: 12,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.56 : 17,849.16 = 9,401.40 : x
  2. Step 2: Convert to fraction form
    12,913.56/17,849.16 = 9,401.40/x
  3. Step 3: Cross multiply
    12,913.56x = 17,849.16 × 9,401.40
  4. Step 4: Simplify right side
    12,913.56x = 167,807,092.82
  5. Step 5: Solve for x
    x = 167,807,092.82/12,913.56
  6. Step 6: Final answer
    x = 12,994.64

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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.