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Finding the Fourth Proportional to 13,096.80, 19,614.24 and 9,973.04

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Solution

The fourth proportional to 13,096.80, 19,614.24 and 9,973.04 is: 14,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.80 : 19,614.24 = 9,973.04 : x
  2. Step 2: Convert to fraction form
    13,096.80/19,614.24 = 9,973.04/x
  3. Step 3: Cross multiply
    13,096.80x = 19,614.24 × 9,973.04
  4. Step 4: Simplify right side
    13,096.80x = 195,613,600.09
  5. Step 5: Solve for x
    x = 195,613,600.09/13,096.80
  6. Step 6: Final answer
    x = 14,935.98

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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.