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Finding the Fourth Proportional to 21,911.24, 32,868 and 7,119.06

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Solution

The fourth proportional to 21,911.24, 32,868 and 7,119.06 is: 10,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.24 : 32,868 = 7,119.06 : x
  2. Step 2: Convert to fraction form
    21,911.24/32,868 = 7,119.06/x
  3. Step 3: Cross multiply
    21,911.24x = 32,868 × 7,119.06
  4. Step 4: Simplify right side
    21,911.24x = 233,989,264.08
  5. Step 5: Solve for x
    x = 233,989,264.08/21,911.24
  6. Step 6: Final answer
    x = 10,678.96

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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.