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Finding the Fourth Proportional to 19,776.96, 29,669.04 and 9,923.04

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Solution

The fourth proportional to 19,776.96, 29,669.04 and 9,923.04 is: 14,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.96 : 29,669.04 = 9,923.04 : x
  2. Step 2: Convert to fraction form
    19,776.96/29,669.04 = 9,923.04/x
  3. Step 3: Cross multiply
    19,776.96x = 29,669.04 × 9,923.04
  4. Step 4: Simplify right side
    19,776.96x = 294,407,070.68
  5. Step 5: Solve for x
    x = 294,407,070.68/19,776.96
  6. Step 6: Final answer
    x = 14,886.37

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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.