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Finding the Fourth Proportional to 12,264.32, 16,924.61 and 7,228.76

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Solution

The fourth proportional to 12,264.32, 16,924.61 and 7,228.76 is: 9,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.32 : 16,924.61 = 7,228.76 : x
  2. Step 2: Convert to fraction form
    12,264.32/16,924.61 = 7,228.76/x
  3. Step 3: Cross multiply
    12,264.32x = 16,924.61 × 7,228.76
  4. Step 4: Simplify right side
    12,264.32x = 122,343,943.78
  5. Step 5: Solve for x
    x = 122,343,943.78/12,264.32
  6. Step 6: Final answer
    x = 9,975.60

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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.