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Finding the Fourth Proportional to 16,387.68, 24,550.68 and 9,704.40

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Solution

The fourth proportional to 16,387.68, 24,550.68 and 9,704.40 is: 14,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387.68 : 24,550.68 = 9,704.40 : x
  2. Step 2: Convert to fraction form
    16,387.68/24,550.68 = 9,704.40/x
  3. Step 3: Cross multiply
    16,387.68x = 24,550.68 × 9,704.40
  4. Step 4: Simplify right side
    16,387.68x = 238,249,618.99
  5. Step 5: Solve for x
    x = 238,249,618.99/16,387.68
  6. Step 6: Final answer
    x = 14,538.34

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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.