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Finding the Fourth Proportional to 21,364.70, 32,047.11 and 5,782.32

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Solution

The fourth proportional to 21,364.70, 32,047.11 and 5,782.32 is: 8,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.70 : 32,047.11 = 5,782.32 : x
  2. Step 2: Convert to fraction form
    21,364.70/32,047.11 = 5,782.32/x
  3. Step 3: Cross multiply
    21,364.70x = 32,047.11 × 5,782.32
  4. Step 4: Simplify right side
    21,364.70x = 185,306,645.10
  5. Step 5: Solve for x
    x = 185,306,645.10/21,364.70
  6. Step 6: Final answer
    x = 8,673.50

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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.