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Finding the Fourth Proportional to 19,513.44, 29,271.84 and 14,313.10

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Solution

The fourth proportional to 19,513.44, 29,271.84 and 14,313.10 is: 21,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.44 : 29,271.84 = 14,313.10 : x
  2. Step 2: Convert to fraction form
    19,513.44/29,271.84 = 14,313.10/x
  3. Step 3: Cross multiply
    19,513.44x = 29,271.84 × 14,313.10
  4. Step 4: Simplify right side
    19,513.44x = 418,970,773.10
  5. Step 5: Solve for x
    x = 418,970,773.10/19,513.44
  6. Step 6: Final answer
    x = 21,470.88

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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.