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Finding the Fourth Proportional to 16,338.84, 24,477.42 and 9,655.40

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Solution

The fourth proportional to 16,338.84, 24,477.42 and 9,655.40 is: 14,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.84 : 24,477.42 = 9,655.40 : x
  2. Step 2: Convert to fraction form
    16,338.84/24,477.42 = 9,655.40/x
  3. Step 3: Cross multiply
    16,338.84x = 24,477.42 × 9,655.40
  4. Step 4: Simplify right side
    16,338.84x = 236,339,281.07
  5. Step 5: Solve for x
    x = 236,339,281.07/16,338.84
  6. Step 6: Final answer
    x = 14,464.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.