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Finding the Fourth Proportional to 21,833.65, 30,141.32 and 14,796.98

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Solution

The fourth proportional to 21,833.65, 30,141.32 and 14,796.98 is: 20,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.65 : 30,141.32 = 14,796.98 : x
  2. Step 2: Convert to fraction form
    21,833.65/30,141.32 = 14,796.98/x
  3. Step 3: Cross multiply
    21,833.65x = 30,141.32 × 14,796.98
  4. Step 4: Simplify right side
    21,833.65x = 446,000,397.55
  5. Step 5: Solve for x
    x = 446,000,397.55/21,833.65
  6. Step 6: Final answer
    x = 20,427.20

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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.