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Finding the Fourth Proportional to 14,688.56, 20,270.16 and 8,400.92

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Solution

The fourth proportional to 14,688.56, 20,270.16 and 8,400.92 is: 11,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.56 : 20,270.16 = 8,400.92 : x
  2. Step 2: Convert to fraction form
    14,688.56/20,270.16 = 8,400.92/x
  3. Step 3: Cross multiply
    14,688.56x = 20,270.16 × 8,400.92
  4. Step 4: Simplify right side
    14,688.56x = 170,287,992.55
  5. Step 5: Solve for x
    x = 170,287,992.55/14,688.56
  6. Step 6: Final answer
    x = 11,593.24

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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.