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Finding the Fourth Proportional to 21,684.85, 29,933.35 and 14,133.02

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Solution

The fourth proportional to 21,684.85, 29,933.35 and 14,133.02 is: 19,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.85 : 29,933.35 = 14,133.02 : x
  2. Step 2: Convert to fraction form
    21,684.85/29,933.35 = 14,133.02/x
  3. Step 3: Cross multiply
    21,684.85x = 29,933.35 × 14,133.02
  4. Step 4: Simplify right side
    21,684.85x = 423,048,449.22
  5. Step 5: Solve for x
    x = 423,048,449.22/21,684.85
  6. Step 6: Final answer
    x = 19,508.94

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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.