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Finding the Fourth Proportional to 12,030, 16,601.40 and 7,313.40

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Solution

The fourth proportional to 12,030, 16,601.40 and 7,313.40 is: 10,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030 : 16,601.40 = 7,313.40 : x
  2. Step 2: Convert to fraction form
    12,030/16,601.40 = 7,313.40/x
  3. Step 3: Cross multiply
    12,030x = 16,601.40 × 7,313.40
  4. Step 4: Simplify right side
    12,030x = 121,412,678.76
  5. Step 5: Solve for x
    x = 121,412,678.76/12,030
  6. Step 6: Final answer
    x = 10,092.49

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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.