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Finding the Fourth Proportional to 23,812.16, 32,860.72 and 13,057.04

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Solution

The fourth proportional to 23,812.16, 32,860.72 and 13,057.04 is: 18,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.16 : 32,860.72 = 13,057.04 : x
  2. Step 2: Convert to fraction form
    23,812.16/32,860.72 = 13,057.04/x
  3. Step 3: Cross multiply
    23,812.16x = 32,860.72 × 13,057.04
  4. Step 4: Simplify right side
    23,812.16x = 429,063,735.47
  5. Step 5: Solve for x
    x = 429,063,735.47/23,812.16
  6. Step 6: Final answer
    x = 18,018.68

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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.