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Finding the Fourth Proportional to 21,416.40, 32,119.74 and 9,563.94

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Solution

The fourth proportional to 21,416.40, 32,119.74 and 9,563.94 is: 14,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.40 : 32,119.74 = 9,563.94 : x
  2. Step 2: Convert to fraction form
    21,416.40/32,119.74 = 9,563.94/x
  3. Step 3: Cross multiply
    21,416.40x = 32,119.74 × 9,563.94
  4. Step 4: Simplify right side
    21,416.40x = 307,191,266.18
  5. Step 5: Solve for x
    x = 307,191,266.18/21,416.40
  6. Step 6: Final answer
    x = 14,343.74

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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.