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Finding the Fourth Proportional to 12,965.40, 17,889.21 and 7,661.01

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Solution

The fourth proportional to 12,965.40, 17,889.21 and 7,661.01 is: 10,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.40 : 17,889.21 = 7,661.01 : x
  2. Step 2: Convert to fraction form
    12,965.40/17,889.21 = 7,661.01/x
  3. Step 3: Cross multiply
    12,965.40x = 17,889.21 × 7,661.01
  4. Step 4: Simplify right side
    12,965.40x = 137,049,416.70
  5. Step 5: Solve for x
    x = 137,049,416.70/12,965.40
  6. Step 6: Final answer
    x = 10,570.40

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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.