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Finding the Fourth Proportional to 14,032.32, 20,957.44 and 12,713.44

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Solution

The fourth proportional to 14,032.32, 20,957.44 and 12,713.44 is: 18,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.32 : 20,957.44 = 12,713.44 : x
  2. Step 2: Convert to fraction form
    14,032.32/20,957.44 = 12,713.44/x
  3. Step 3: Cross multiply
    14,032.32x = 20,957.44 × 12,713.44
  4. Step 4: Simplify right side
    14,032.32x = 266,441,155.99
  5. Step 5: Solve for x
    x = 266,441,155.99/14,032.32
  6. Step 6: Final answer
    x = 18,987.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.