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Finding the Fourth Proportional to 12,275.28, 18,415.76 and 4,484.16

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Solution

The fourth proportional to 12,275.28, 18,415.76 and 4,484.16 is: 6,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.28 : 18,415.76 = 4,484.16 : x
  2. Step 2: Convert to fraction form
    12,275.28/18,415.76 = 4,484.16/x
  3. Step 3: Cross multiply
    12,275.28x = 18,415.76 × 4,484.16
  4. Step 4: Simplify right side
    12,275.28x = 82,579,191.94
  5. Step 5: Solve for x
    x = 82,579,191.94/12,275.28
  6. Step 6: Final answer
    x = 6,727.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.