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Finding the Fourth Proportional to 10,930.40, 14,769 and 10,930.40

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Solution

The fourth proportional to 10,930.40, 14,769 and 10,930.40 is: 14,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.40 : 14,769 = 10,930.40 : x
  2. Step 2: Convert to fraction form
    10,930.40/14,769 = 10,930.40/x
  3. Step 3: Cross multiply
    10,930.40x = 14,769 × 10,930.40
  4. Step 4: Simplify right side
    10,930.40x = 161,431,077.60
  5. Step 5: Solve for x
    x = 161,431,077.60/10,930.40
  6. Step 6: Final answer
    x = 14,769

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.