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Finding the Fourth Proportional to 10,930.70, 16,428.45 and 9,505.10

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Solution

The fourth proportional to 10,930.70, 16,428.45 and 9,505.10 is: 14,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.70 : 16,428.45 = 9,505.10 : x
  2. Step 2: Convert to fraction form
    10,930.70/16,428.45 = 9,505.10/x
  3. Step 3: Cross multiply
    10,930.70x = 16,428.45 × 9,505.10
  4. Step 4: Simplify right side
    10,930.70x = 156,154,060.10
  5. Step 5: Solve for x
    x = 156,154,060.10/10,930.70
  6. Step 6: Final answer
    x = 14,285.82

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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.