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Finding the Fourth Proportional to 13,019.96, 17,964.42 and 7,713.86

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Solution

The fourth proportional to 13,019.96, 17,964.42 and 7,713.86 is: 10,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.96 : 17,964.42 = 7,713.86 : x
  2. Step 2: Convert to fraction form
    13,019.96/17,964.42 = 7,713.86/x
  3. Step 3: Cross multiply
    13,019.96x = 17,964.42 × 7,713.86
  4. Step 4: Simplify right side
    13,019.96x = 138,574,931.04
  5. Step 5: Solve for x
    x = 138,574,931.04/13,019.96
  6. Step 6: Final answer
    x = 10,643.27

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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.