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Finding the Fourth Proportional to 21,989.16, 32,986.98 and 6,408

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Solution

The fourth proportional to 21,989.16, 32,986.98 and 6,408 is: 9,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.16 : 32,986.98 = 6,408 : x
  2. Step 2: Convert to fraction form
    21,989.16/32,986.98 = 6,408/x
  3. Step 3: Cross multiply
    21,989.16x = 32,986.98 × 6,408
  4. Step 4: Simplify right side
    21,989.16x = 211,380,567.84
  5. Step 5: Solve for x
    x = 211,380,567.84/21,989.16
  6. Step 6: Final answer
    x = 9,612.94

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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.