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Finding the Fourth Proportional to 12,330.96, 17,015.85 and 7,024.80

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Solution

The fourth proportional to 12,330.96, 17,015.85 and 7,024.80 is: 9,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.96 : 17,015.85 = 7,024.80 : x
  2. Step 2: Convert to fraction form
    12,330.96/17,015.85 = 7,024.80/x
  3. Step 3: Cross multiply
    12,330.96x = 17,015.85 × 7,024.80
  4. Step 4: Simplify right side
    12,330.96x = 119,532,943.08
  5. Step 5: Solve for x
    x = 119,532,943.08/12,330.96
  6. Step 6: Final answer
    x = 9,693.73

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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.