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Finding the Fourth Proportional to 12,288.64, 16,959.54 and 7,254.52

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Solution

The fourth proportional to 12,288.64, 16,959.54 and 7,254.52 is: 10,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.64 : 16,959.54 = 7,254.52 : x
  2. Step 2: Convert to fraction form
    12,288.64/16,959.54 = 7,254.52/x
  3. Step 3: Cross multiply
    12,288.64x = 16,959.54 × 7,254.52
  4. Step 4: Simplify right side
    12,288.64x = 123,033,322.12
  5. Step 5: Solve for x
    x = 123,033,322.12/12,288.64
  6. Step 6: Final answer
    x = 10,011.96

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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.