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Finding the Fourth Proportional to 12,384.86, 17,090.96 and 7,007.20

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Solution

The fourth proportional to 12,384.86, 17,090.96 and 7,007.20 is: 9,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.86 : 17,090.96 = 7,007.20 : x
  2. Step 2: Convert to fraction form
    12,384.86/17,090.96 = 7,007.20/x
  3. Step 3: Cross multiply
    12,384.86x = 17,090.96 × 7,007.20
  4. Step 4: Simplify right side
    12,384.86x = 119,759,749.70
  5. Step 5: Solve for x
    x = 119,759,749.70/12,384.86
  6. Step 6: Final answer
    x = 9,669.85

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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.