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Finding the Fourth Proportional to 21,962.32, 32,943.88 and 7,923.40

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Solution

The fourth proportional to 21,962.32, 32,943.88 and 7,923.40 is: 11,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.32 : 32,943.88 = 7,923.40 : x
  2. Step 2: Convert to fraction form
    21,962.32/32,943.88 = 7,923.40/x
  3. Step 3: Cross multiply
    21,962.32x = 32,943.88 × 7,923.40
  4. Step 4: Simplify right side
    21,962.32x = 261,027,466.34
  5. Step 5: Solve for x
    x = 261,027,466.34/21,962.32
  6. Step 6: Final answer
    x = 11,885.24

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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.