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Finding the Fourth Proportional to 19,448, 29,176.88 and 5,597

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Solution

The fourth proportional to 19,448, 29,176.88 and 5,597 is: 8,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,448 : 29,176.88 = 5,597 : x
  2. Step 2: Convert to fraction form
    19,448/29,176.88 = 5,597/x
  3. Step 3: Cross multiply
    19,448x = 29,176.88 × 5,597
  4. Step 4: Simplify right side
    19,448x = 163,302,997.36
  5. Step 5: Solve for x
    x = 163,302,997.36/19,448
  6. Step 6: Final answer
    x = 8,396.90

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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.