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Finding the Fourth Proportional to 14,453, 19,945.14 and 7,829

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Solution

The fourth proportional to 14,453, 19,945.14 and 7,829 is: 10,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453 : 19,945.14 = 7,829 : x
  2. Step 2: Convert to fraction form
    14,453/19,945.14 = 7,829/x
  3. Step 3: Cross multiply
    14,453x = 19,945.14 × 7,829
  4. Step 4: Simplify right side
    14,453x = 156,150,501.06
  5. Step 5: Solve for x
    x = 156,150,501.06/14,453
  6. Step 6: Final answer
    x = 10,804.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.