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Finding the Fourth Proportional to 23,812.71, 32,852.19 and 15,313.48

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Solution

The fourth proportional to 23,812.71, 32,852.19 and 15,313.48 is: 21,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.71 : 32,852.19 = 15,313.48 : x
  2. Step 2: Convert to fraction form
    23,812.71/32,852.19 = 15,313.48/x
  3. Step 3: Cross multiply
    23,812.71x = 32,852.19 × 15,313.48
  4. Step 4: Simplify right side
    23,812.71x = 503,081,354.52
  5. Step 5: Solve for x
    x = 503,081,354.52/23,812.71
  6. Step 6: Final answer
    x = 21,126.59

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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.