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Finding the Fourth Proportional to 23,812.25, 32,851.64 and 15,313.21

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Solution

The fourth proportional to 23,812.25, 32,851.64 and 15,313.21 is: 21,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.25 : 32,851.64 = 15,313.21 : x
  2. Step 2: Convert to fraction form
    23,812.25/32,851.64 = 15,313.21/x
  3. Step 3: Cross multiply
    23,812.25x = 32,851.64 × 15,313.21
  4. Step 4: Simplify right side
    23,812.25x = 503,064,018.32
  5. Step 5: Solve for x
    x = 503,064,018.32/23,812.25
  6. Step 6: Final answer
    x = 21,126.27

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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.