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Finding the Fourth Proportional to 14,165.19, 21,244.91 and 13,462.65

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Solution

The fourth proportional to 14,165.19, 21,244.91 and 13,462.65 is: 20,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.19 : 21,244.91 = 13,462.65 : x
  2. Step 2: Convert to fraction form
    14,165.19/21,244.91 = 13,462.65/x
  3. Step 3: Cross multiply
    14,165.19x = 21,244.91 × 13,462.65
  4. Step 4: Simplify right side
    14,165.19x = 286,012,720.30
  5. Step 5: Solve for x
    x = 286,012,720.30/14,165.19
  6. Step 6: Final answer
    x = 20,191.24

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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.