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Finding the Fourth Proportional to 21,304.57, 29,405.58 and 14,509.83

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Solution

The fourth proportional to 21,304.57, 29,405.58 and 14,509.83 is: 20,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.57 : 29,405.58 = 14,509.83 : x
  2. Step 2: Convert to fraction form
    21,304.57/29,405.58 = 14,509.83/x
  3. Step 3: Cross multiply
    21,304.57x = 29,405.58 × 14,509.83
  4. Step 4: Simplify right side
    21,304.57x = 426,670,104.33
  5. Step 5: Solve for x
    x = 426,670,104.33/21,304.57
  6. Step 6: Final answer
    x = 20,027.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.