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Finding the Fourth Proportional to 13,021.42, 17,971.86 and 7,719.16

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Solution

The fourth proportional to 13,021.42, 17,971.86 and 7,719.16 is: 10,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.42 : 17,971.86 = 7,719.16 : x
  2. Step 2: Convert to fraction form
    13,021.42/17,971.86 = 7,719.16/x
  3. Step 3: Cross multiply
    13,021.42x = 17,971.86 × 7,719.16
  4. Step 4: Simplify right side
    13,021.42x = 138,727,662.84
  5. Step 5: Solve for x
    x = 138,727,662.84/13,021.42
  6. Step 6: Final answer
    x = 10,653.80

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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.