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Finding the Fourth Proportional to 21,011.82, 28,991.24 and 13,840.98

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Solution

The fourth proportional to 21,011.82, 28,991.24 and 13,840.98 is: 19,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.82 : 28,991.24 = 13,840.98 : x
  2. Step 2: Convert to fraction form
    21,011.82/28,991.24 = 13,840.98/x
  3. Step 3: Cross multiply
    21,011.82x = 28,991.24 × 13,840.98
  4. Step 4: Simplify right side
    21,011.82x = 401,267,173.02
  5. Step 5: Solve for x
    x = 401,267,173.02/21,011.82
  6. Step 6: Final answer
    x = 19,097.21

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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.