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Finding the Fourth Proportional to 10,817.46, 16,147.94 and 9,505.26

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Solution

The fourth proportional to 10,817.46, 16,147.94 and 9,505.26 is: 14,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.46 : 16,147.94 = 9,505.26 : x
  2. Step 2: Convert to fraction form
    10,817.46/16,147.94 = 9,505.26/x
  3. Step 3: Cross multiply
    10,817.46x = 16,147.94 × 9,505.26
  4. Step 4: Simplify right side
    10,817.46x = 153,490,368.16
  5. Step 5: Solve for x
    x = 153,490,368.16/10,817.46
  6. Step 6: Final answer
    x = 14,189.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.