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Finding the Fourth Proportional to 17,469.67, 24,106.93 and 9,916.16

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Solution

The fourth proportional to 17,469.67, 24,106.93 and 9,916.16 is: 13,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.67 : 24,106.93 = 9,916.16 : x
  2. Step 2: Convert to fraction form
    17,469.67/24,106.93 = 9,916.16/x
  3. Step 3: Cross multiply
    17,469.67x = 24,106.93 × 9,916.16
  4. Step 4: Simplify right side
    17,469.67x = 239,048,074.86
  5. Step 5: Solve for x
    x = 239,048,074.86/17,469.67
  6. Step 6: Final answer
    x = 13,683.60

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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.