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Finding the Fourth Proportional to 17,880.50, 24,675.14 and 9,814.22

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Solution

The fourth proportional to 17,880.50, 24,675.14 and 9,814.22 is: 13,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.50 : 24,675.14 = 9,814.22 : x
  2. Step 2: Convert to fraction form
    17,880.50/24,675.14 = 9,814.22/x
  3. Step 3: Cross multiply
    17,880.50x = 24,675.14 × 9,814.22
  4. Step 4: Simplify right side
    17,880.50x = 242,167,080.04
  5. Step 5: Solve for x
    x = 242,167,080.04/17,880.50
  6. Step 6: Final answer
    x = 13,543.65

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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.