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Finding the Fourth Proportional to 21,409.50, 32,117.32 and 6,619.57

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Solution

The fourth proportional to 21,409.50, 32,117.32 and 6,619.57 is: 9,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.50 : 32,117.32 = 6,619.57 : x
  2. Step 2: Convert to fraction form
    21,409.50/32,117.32 = 6,619.57/x
  3. Step 3: Cross multiply
    21,409.50x = 32,117.32 × 6,619.57
  4. Step 4: Simplify right side
    21,409.50x = 212,602,847.95
  5. Step 5: Solve for x
    x = 212,602,847.95/21,409.50
  6. Step 6: Final answer
    x = 9,930.30

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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.