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Finding the Fourth Proportional to 14,541.48, 21,812.36 and 9,351

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Solution

The fourth proportional to 14,541.48, 21,812.36 and 9,351 is: 14,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541.48 : 21,812.36 = 9,351 : x
  2. Step 2: Convert to fraction form
    14,541.48/21,812.36 = 9,351/x
  3. Step 3: Cross multiply
    14,541.48x = 21,812.36 × 9,351
  4. Step 4: Simplify right side
    14,541.48x = 203,967,331.61
  5. Step 5: Solve for x
    x = 203,967,331.61/14,541.48
  6. Step 6: Final answer
    x = 14,026.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.