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Finding the Fourth Proportional to 13,014.34, 17,958.51 and 7,708.13

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Solution

The fourth proportional to 13,014.34, 17,958.51 and 7,708.13 is: 10,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.34 : 17,958.51 = 7,708.13 : x
  2. Step 2: Convert to fraction form
    13,014.34/17,958.51 = 7,708.13/x
  3. Step 3: Cross multiply
    13,014.34x = 17,958.51 × 7,708.13
  4. Step 4: Simplify right side
    13,014.34x = 138,426,507.24
  5. Step 5: Solve for x
    x = 138,426,507.24/13,014.34
  6. Step 6: Final answer
    x = 10,636.46

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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.