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Finding the Fourth Proportional to 13,002.64, 17,943.58 and 7,034.30

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Solution

The fourth proportional to 13,002.64, 17,943.58 and 7,034.30 is: 9,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.64 : 17,943.58 = 7,034.30 : x
  2. Step 2: Convert to fraction form
    13,002.64/17,943.58 = 7,034.30/x
  3. Step 3: Cross multiply
    13,002.64x = 17,943.58 × 7,034.30
  4. Step 4: Simplify right side
    13,002.64x = 126,220,524.79
  5. Step 5: Solve for x
    x = 126,220,524.79/13,002.64
  6. Step 6: Final answer
    x = 9,707.30

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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.