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Finding the Fourth Proportional to 21,969.30, 32,953.66 and 5,329.50

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Solution

The fourth proportional to 21,969.30, 32,953.66 and 5,329.50 is: 7,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.30 : 32,953.66 = 5,329.50 : x
  2. Step 2: Convert to fraction form
    21,969.30/32,953.66 = 5,329.50/x
  3. Step 3: Cross multiply
    21,969.30x = 32,953.66 × 5,329.50
  4. Step 4: Simplify right side
    21,969.30x = 175,626,530.97
  5. Step 5: Solve for x
    x = 175,626,530.97/21,969.30
  6. Step 6: Final answer
    x = 7,994.18

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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.