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Finding the Fourth Proportional to 16,577.78, 22,884.41 and 9,864.03

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Solution

The fourth proportional to 16,577.78, 22,884.41 and 9,864.03 is: 13,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.78 : 22,884.41 = 9,864.03 : x
  2. Step 2: Convert to fraction form
    16,577.78/22,884.41 = 9,864.03/x
  3. Step 3: Cross multiply
    16,577.78x = 22,884.41 × 9,864.03
  4. Step 4: Simplify right side
    16,577.78x = 225,732,506.77
  5. Step 5: Solve for x
    x = 225,732,506.77/16,577.78
  6. Step 6: Final answer
    x = 13,616.57

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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.