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Finding the Fourth Proportional to 10,023.96, 14,944.62 and 9,768.36

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Solution

The fourth proportional to 10,023.96, 14,944.62 and 9,768.36 is: 14,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.96 : 14,944.62 = 9,768.36 : x
  2. Step 2: Convert to fraction form
    10,023.96/14,944.62 = 9,768.36/x
  3. Step 3: Cross multiply
    10,023.96x = 14,944.62 × 9,768.36
  4. Step 4: Simplify right side
    10,023.96x = 145,984,428.22
  5. Step 5: Solve for x
    x = 145,984,428.22/10,023.96
  6. Step 6: Final answer
    x = 14,563.55

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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.