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Finding the Fourth Proportional to 12,328.64, 17,012.80 and 7,022.72

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Solution

The fourth proportional to 12,328.64, 17,012.80 and 7,022.72 is: 9,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.64 : 17,012.80 = 7,022.72 : x
  2. Step 2: Convert to fraction form
    12,328.64/17,012.80 = 7,022.72/x
  3. Step 3: Cross multiply
    12,328.64x = 17,012.80 × 7,022.72
  4. Step 4: Simplify right side
    12,328.64x = 119,476,130.82
  5. Step 5: Solve for x
    x = 119,476,130.82/12,328.64
  6. Step 6: Final answer
    x = 9,690.94

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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.