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Finding the Fourth Proportional to 14,501.60, 20,013.12 and 8,214.56

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Solution

The fourth proportional to 14,501.60, 20,013.12 and 8,214.56 is: 11,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.60 : 20,013.12 = 8,214.56 : x
  2. Step 2: Convert to fraction form
    14,501.60/20,013.12 = 8,214.56/x
  3. Step 3: Cross multiply
    14,501.60x = 20,013.12 × 8,214.56
  4. Step 4: Simplify right side
    14,501.60x = 164,398,975.03
  5. Step 5: Solve for x
    x = 164,398,975.03/14,501.60
  6. Step 6: Final answer
    x = 11,336.61

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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.