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Finding the Fourth Proportional to 13,747.84, 18,971.94 and 7,460.08

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Solution

The fourth proportional to 13,747.84, 18,971.94 and 7,460.08 is: 10,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.84 : 18,971.94 = 7,460.08 : x
  2. Step 2: Convert to fraction form
    13,747.84/18,971.94 = 7,460.08/x
  3. Step 3: Cross multiply
    13,747.84x = 18,971.94 × 7,460.08
  4. Step 4: Simplify right side
    13,747.84x = 141,532,190.16
  5. Step 5: Solve for x
    x = 141,532,190.16/13,747.84
  6. Step 6: Final answer
    x = 10,294.87

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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.