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Finding the Fourth Proportional to 21,408.40, 32,127 and 9,722.80

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Solution

The fourth proportional to 21,408.40, 32,127 and 9,722.80 is: 14,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.40 : 32,127 = 9,722.80 : x
  2. Step 2: Convert to fraction form
    21,408.40/32,127 = 9,722.80/x
  3. Step 3: Cross multiply
    21,408.40x = 32,127 × 9,722.80
  4. Step 4: Simplify right side
    21,408.40x = 312,364,395.60
  5. Step 5: Solve for x
    x = 312,364,395.60/21,408.40
  6. Step 6: Final answer
    x = 14,590.74

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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.