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Finding the Fourth Proportional to 21,969.83, 32,954.47 and 5,330

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Solution

The fourth proportional to 21,969.83, 32,954.47 and 5,330 is: 7,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.83 : 32,954.47 = 5,330 : x
  2. Step 2: Convert to fraction form
    21,969.83/32,954.47 = 5,330/x
  3. Step 3: Cross multiply
    21,969.83x = 32,954.47 × 5,330
  4. Step 4: Simplify right side
    21,969.83x = 175,647,325.10
  5. Step 5: Solve for x
    x = 175,647,325.10/21,969.83
  6. Step 6: Final answer
    x = 7,994.93

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Why These Related Problems?

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