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Finding the Fourth Proportional to 12,059.28, 16,639.08 and 7,022.40

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Solution

The fourth proportional to 12,059.28, 16,639.08 and 7,022.40 is: 9,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.28 : 16,639.08 = 7,022.40 : x
  2. Step 2: Convert to fraction form
    12,059.28/16,639.08 = 7,022.40/x
  3. Step 3: Cross multiply
    12,059.28x = 16,639.08 × 7,022.40
  4. Step 4: Simplify right side
    12,059.28x = 116,846,275.39
  5. Step 5: Solve for x
    x = 116,846,275.39/12,059.28
  6. Step 6: Final answer
    x = 9,689.32

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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.