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Finding the Fourth Proportional to 21,980.32, 32,975.94 and 6,397.94

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Solution

The fourth proportional to 21,980.32, 32,975.94 and 6,397.94 is: 9,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.32 : 32,975.94 = 6,397.94 : x
  2. Step 2: Convert to fraction form
    21,980.32/32,975.94 = 6,397.94/x
  3. Step 3: Cross multiply
    21,980.32x = 32,975.94 × 6,397.94
  4. Step 4: Simplify right side
    21,980.32x = 210,978,085.56
  5. Step 5: Solve for x
    x = 210,978,085.56/21,980.32
  6. Step 6: Final answer
    x = 9,598.50

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