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Finding the Fourth Proportional to 11,928.84, 16,478.10 and 9,688.20

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Solution

The fourth proportional to 11,928.84, 16,478.10 and 9,688.20 is: 13,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.84 : 16,478.10 = 9,688.20 : x
  2. Step 2: Convert to fraction form
    11,928.84/16,478.10 = 9,688.20/x
  3. Step 3: Cross multiply
    11,928.84x = 16,478.10 × 9,688.20
  4. Step 4: Simplify right side
    11,928.84x = 159,643,128.42
  5. Step 5: Solve for x
    x = 159,643,128.42/11,928.84
  6. Step 6: Final answer
    x = 13,382.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.