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Finding the Fourth Proportional to 17,880.69, 24,674.49 and 9,814.15

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Solution

The fourth proportional to 17,880.69, 24,674.49 and 9,814.15 is: 13,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.69 : 24,674.49 = 9,814.15 : x
  2. Step 2: Convert to fraction form
    17,880.69/24,674.49 = 9,814.15/x
  3. Step 3: Cross multiply
    17,880.69x = 24,674.49 × 9,814.15
  4. Step 4: Simplify right side
    17,880.69x = 242,159,146.03
  5. Step 5: Solve for x
    x = 242,159,146.03/17,880.69
  6. Step 6: Final answer
    x = 13,543.05

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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.