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Finding the Fourth Proportional to 14,648.67, 21,971.10 and 4,119.48

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Solution

The fourth proportional to 14,648.67, 21,971.10 and 4,119.48 is: 6,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.67 : 21,971.10 = 4,119.48 : x
  2. Step 2: Convert to fraction form
    14,648.67/21,971.10 = 4,119.48/x
  3. Step 3: Cross multiply
    14,648.67x = 21,971.10 × 4,119.48
  4. Step 4: Simplify right side
    14,648.67x = 90,509,507.03
  5. Step 5: Solve for x
    x = 90,509,507.03/14,648.67
  6. Step 6: Final answer
    x = 6,178.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.