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Finding the Fourth Proportional to 21,943.60, 32,899.20 and 9,453.40

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Solution

The fourth proportional to 21,943.60, 32,899.20 and 9,453.40 is: 14,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943.60 : 32,899.20 = 9,453.40 : x
  2. Step 2: Convert to fraction form
    21,943.60/32,899.20 = 9,453.40/x
  3. Step 3: Cross multiply
    21,943.60x = 32,899.20 × 9,453.40
  4. Step 4: Simplify right side
    21,943.60x = 311,009,297.28
  5. Step 5: Solve for x
    x = 311,009,297.28/21,943.60
  6. Step 6: Final answer
    x = 14,173.12

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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.