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Finding the Fourth Proportional to 14,776.69, 20,388.19 and 9,032.68

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Solution

The fourth proportional to 14,776.69, 20,388.19 and 9,032.68 is: 12,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.69 : 20,388.19 = 9,032.68 : x
  2. Step 2: Convert to fraction form
    14,776.69/20,388.19 = 9,032.68/x
  3. Step 3: Cross multiply
    14,776.69x = 20,388.19 × 9,032.68
  4. Step 4: Simplify right side
    14,776.69x = 184,159,996.05
  5. Step 5: Solve for x
    x = 184,159,996.05/14,776.69
  6. Step 6: Final answer
    x = 12,462.87

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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.