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Finding the Fourth Proportional to 14,501.86, 20,011.89 and 8,214.28

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Solution

The fourth proportional to 14,501.86, 20,011.89 and 8,214.28 is: 11,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.86 : 20,011.89 = 8,214.28 : x
  2. Step 2: Convert to fraction form
    14,501.86/20,011.89 = 8,214.28/x
  3. Step 3: Cross multiply
    14,501.86x = 20,011.89 × 8,214.28
  4. Step 4: Simplify right side
    14,501.86x = 164,383,217.76
  5. Step 5: Solve for x
    x = 164,383,217.76/14,501.86
  6. Step 6: Final answer
    x = 11,335.32

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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.