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Finding the Fourth Proportional to 14,600.43, 21,881.61 and 6,700.10

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Solution

The fourth proportional to 14,600.43, 21,881.61 and 6,700.10 is: 10,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.43 : 21,881.61 = 6,700.10 : x
  2. Step 2: Convert to fraction form
    14,600.43/21,881.61 = 6,700.10/x
  3. Step 3: Cross multiply
    14,600.43x = 21,881.61 × 6,700.10
  4. Step 4: Simplify right side
    14,600.43x = 146,608,865.75
  5. Step 5: Solve for x
    x = 146,608,865.75/14,600.43
  6. Step 6: Final answer
    x = 10,041.41

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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.