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Finding the Fourth Proportional to 19,336, 29,004.12 and 6,856.32

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Solution

The fourth proportional to 19,336, 29,004.12 and 6,856.32 is: 10,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,336 : 29,004.12 = 6,856.32 : x
  2. Step 2: Convert to fraction form
    19,336/29,004.12 = 6,856.32/x
  3. Step 3: Cross multiply
    19,336x = 29,004.12 × 6,856.32
  4. Step 4: Simplify right side
    19,336x = 198,861,528.04
  5. Step 5: Solve for x
    x = 198,861,528.04/19,336
  6. Step 6: Final answer
    x = 10,284.52

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Why These Related Problems?

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