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Finding the Fourth Proportional to 16,295.67, 22,489.25 and 9,223.16

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Solution

The fourth proportional to 16,295.67, 22,489.25 and 9,223.16 is: 12,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.67 : 22,489.25 = 9,223.16 : x
  2. Step 2: Convert to fraction form
    16,295.67/22,489.25 = 9,223.16/x
  3. Step 3: Cross multiply
    16,295.67x = 22,489.25 × 9,223.16
  4. Step 4: Simplify right side
    16,295.67x = 207,421,792.47
  5. Step 5: Solve for x
    x = 207,421,792.47/16,295.67
  6. Step 6: Final answer
    x = 12,728.64

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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.