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Finding the Fourth Proportional to 21,810.12, 30,098.16 and 13,425

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Solution

The fourth proportional to 21,810.12, 30,098.16 and 13,425 is: 18,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.12 : 30,098.16 = 13,425 : x
  2. Step 2: Convert to fraction form
    21,810.12/30,098.16 = 13,425/x
  3. Step 3: Cross multiply
    21,810.12x = 30,098.16 × 13,425
  4. Step 4: Simplify right side
    21,810.12x = 404,067,798
  5. Step 5: Solve for x
    x = 404,067,798/21,810.12
  6. Step 6: Final answer
    x = 18,526.62

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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.