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Finding the Fourth Proportional to 10,941.70, 16,412.55 and 10,431.40

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Solution

The fourth proportional to 10,941.70, 16,412.55 and 10,431.40 is: 15,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.70 : 16,412.55 = 10,431.40 : x
  2. Step 2: Convert to fraction form
    10,941.70/16,412.55 = 10,431.40/x
  3. Step 3: Cross multiply
    10,941.70x = 16,412.55 × 10,431.40
  4. Step 4: Simplify right side
    10,941.70x = 171,205,874.07
  5. Step 5: Solve for x
    x = 171,205,874.07/10,941.70
  6. Step 6: Final answer
    x = 15,647.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.