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Finding the Fourth Proportional to 17,880.48, 24,675.57 and 9,814.50

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Solution

The fourth proportional to 17,880.48, 24,675.57 and 9,814.50 is: 13,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.48 : 24,675.57 = 9,814.50 : x
  2. Step 2: Convert to fraction form
    17,880.48/24,675.57 = 9,814.50/x
  3. Step 3: Cross multiply
    17,880.48x = 24,675.57 × 9,814.50
  4. Step 4: Simplify right side
    17,880.48x = 242,178,381.77
  5. Step 5: Solve for x
    x = 242,178,381.77/17,880.48
  6. Step 6: Final answer
    x = 13,544.29

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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.