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Finding the Fourth Proportional to 14,165.30, 21,223.65 and 9,232.40

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Solution

The fourth proportional to 14,165.30, 21,223.65 and 9,232.40 is: 13,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.30 : 21,223.65 = 9,232.40 : x
  2. Step 2: Convert to fraction form
    14,165.30/21,223.65 = 9,232.40/x
  3. Step 3: Cross multiply
    14,165.30x = 21,223.65 × 9,232.40
  4. Step 4: Simplify right side
    14,165.30x = 195,945,226.26
  5. Step 5: Solve for x
    x = 195,945,226.26/14,165.30
  6. Step 6: Final answer
    x = 13,832.76

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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.