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Finding the Fourth Proportional to 14,422.96, 19,898.21 and 9,391.49

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Solution

The fourth proportional to 14,422.96, 19,898.21 and 9,391.49 is: 12,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.96 : 19,898.21 = 9,391.49 : x
  2. Step 2: Convert to fraction form
    14,422.96/19,898.21 = 9,391.49/x
  3. Step 3: Cross multiply
    14,422.96x = 19,898.21 × 9,391.49
  4. Step 4: Simplify right side
    14,422.96x = 186,873,897.94
  5. Step 5: Solve for x
    x = 186,873,897.94/14,422.96
  6. Step 6: Final answer
    x = 12,956.69

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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.