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Finding the Fourth Proportional to 14,077.86, 21,124.08 and 10,214.16

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Solution

The fourth proportional to 14,077.86, 21,124.08 and 10,214.16 is: 15,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.86 : 21,124.08 = 10,214.16 : x
  2. Step 2: Convert to fraction form
    14,077.86/21,124.08 = 10,214.16/x
  3. Step 3: Cross multiply
    14,077.86x = 21,124.08 × 10,214.16
  4. Step 4: Simplify right side
    14,077.86x = 215,764,732.97
  5. Step 5: Solve for x
    x = 215,764,732.97/14,077.86
  6. Step 6: Final answer
    x = 15,326.53

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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.