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Finding the Fourth Proportional to 21,462.60, 32,195.34 and 7,423.98

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Solution

The fourth proportional to 21,462.60, 32,195.34 and 7,423.98 is: 11,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.60 : 32,195.34 = 7,423.98 : x
  2. Step 2: Convert to fraction form
    21,462.60/32,195.34 = 7,423.98/x
  3. Step 3: Cross multiply
    21,462.60x = 32,195.34 × 7,423.98
  4. Step 4: Simplify right side
    21,462.60x = 239,017,742.49
  5. Step 5: Solve for x
    x = 239,017,742.49/21,462.60
  6. Step 6: Final answer
    x = 11,136.48

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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.