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Finding the Fourth Proportional to 20,598.84, 28,424.70 and 11,647.26

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Solution

The fourth proportional to 20,598.84, 28,424.70 and 11,647.26 is: 16,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.84 : 28,424.70 = 11,647.26 : x
  2. Step 2: Convert to fraction form
    20,598.84/28,424.70 = 11,647.26/x
  3. Step 3: Cross multiply
    20,598.84x = 28,424.70 × 11,647.26
  4. Step 4: Simplify right side
    20,598.84x = 331,069,871.32
  5. Step 5: Solve for x
    x = 331,069,871.32/20,598.84
  6. Step 6: Final answer
    x = 16,072.26

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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.