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Finding the Fourth Proportional to 14,828.96, 20,465.82 and 9,728.79

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Solution

The fourth proportional to 14,828.96, 20,465.82 and 9,728.79 is: 13,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.96 : 20,465.82 = 9,728.79 : x
  2. Step 2: Convert to fraction form
    14,828.96/20,465.82 = 9,728.79/x
  3. Step 3: Cross multiply
    14,828.96x = 20,465.82 × 9,728.79
  4. Step 4: Simplify right side
    14,828.96x = 199,107,664.96
  5. Step 5: Solve for x
    x = 199,107,664.96/14,828.96
  6. Step 6: Final answer
    x = 13,426.95

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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.