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Finding the Fourth Proportional to 21,429.99, 32,180.64 and 14,454.90

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Solution

The fourth proportional to 21,429.99, 32,180.64 and 14,454.90 is: 21,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429.99 : 32,180.64 = 14,454.90 : x
  2. Step 2: Convert to fraction form
    21,429.99/32,180.64 = 14,454.90/x
  3. Step 3: Cross multiply
    21,429.99x = 32,180.64 × 14,454.90
  4. Step 4: Simplify right side
    21,429.99x = 465,167,933.14
  5. Step 5: Solve for x
    x = 465,167,933.14/21,429.99
  6. Step 6: Final answer
    x = 21,706.40

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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.