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Finding the Fourth Proportional to 10,505.10, 14,687.70 and 10,505.10

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Solution

The fourth proportional to 10,505.10, 14,687.70 and 10,505.10 is: 14,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.10 : 14,687.70 = 10,505.10 : x
  2. Step 2: Convert to fraction form
    10,505.10/14,687.70 = 10,505.10/x
  3. Step 3: Cross multiply
    10,505.10x = 14,687.70 × 10,505.10
  4. Step 4: Simplify right side
    10,505.10x = 154,295,757.27
  5. Step 5: Solve for x
    x = 154,295,757.27/10,505.10
  6. Step 6: Final answer
    x = 14,687.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.