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Finding the Fourth Proportional to 14,305.15, 21,412.53 and 12,800.56

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Solution

The fourth proportional to 14,305.15, 21,412.53 and 12,800.56 is: 19,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.15 : 21,412.53 = 12,800.56 : x
  2. Step 2: Convert to fraction form
    14,305.15/21,412.53 = 12,800.56/x
  3. Step 3: Cross multiply
    14,305.15x = 21,412.53 × 12,800.56
  4. Step 4: Simplify right side
    14,305.15x = 274,092,375.02
  5. Step 5: Solve for x
    x = 274,092,375.02/14,305.15
  6. Step 6: Final answer
    x = 19,160.40

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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.