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Finding the Fourth Proportional to 21,928.44, 32,898.06 and 6,345.84

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Solution

The fourth proportional to 21,928.44, 32,898.06 and 6,345.84 is: 9,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928.44 : 32,898.06 = 6,345.84 : x
  2. Step 2: Convert to fraction form
    21,928.44/32,898.06 = 6,345.84/x
  3. Step 3: Cross multiply
    21,928.44x = 32,898.06 × 6,345.84
  4. Step 4: Simplify right side
    21,928.44x = 208,765,825.07
  5. Step 5: Solve for x
    x = 208,765,825.07/21,928.44
  6. Step 6: Final answer
    x = 9,520.32

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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.