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Finding the Fourth Proportional to 20,957.64, 31,416.93 and 14,386.92

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Solution

The fourth proportional to 20,957.64, 31,416.93 and 14,386.92 is: 21,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.64 : 31,416.93 = 14,386.92 : x
  2. Step 2: Convert to fraction form
    20,957.64/31,416.93 = 14,386.92/x
  3. Step 3: Cross multiply
    20,957.64x = 31,416.93 × 14,386.92
  4. Step 4: Simplify right side
    20,957.64x = 451,992,858.56
  5. Step 5: Solve for x
    x = 451,992,858.56/20,957.64
  6. Step 6: Final answer
    x = 21,566.97

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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.