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Finding the Fourth Proportional to 13,004, 17,946.60 and 7,416.08

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Solution

The fourth proportional to 13,004, 17,946.60 and 7,416.08 is: 10,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004 : 17,946.60 = 7,416.08 : x
  2. Step 2: Convert to fraction form
    13,004/17,946.60 = 7,416.08/x
  3. Step 3: Cross multiply
    13,004x = 17,946.60 × 7,416.08
  4. Step 4: Simplify right side
    13,004x = 133,093,421.33
  5. Step 5: Solve for x
    x = 133,093,421.33/13,004
  6. Step 6: Final answer
    x = 10,234.81

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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.