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Finding the Fourth Proportional to 19,332.32, 29,004 and 9,474.48

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Solution

The fourth proportional to 19,332.32, 29,004 and 9,474.48 is: 14,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,332.32 : 29,004 = 9,474.48 : x
  2. Step 2: Convert to fraction form
    19,332.32/29,004 = 9,474.48/x
  3. Step 3: Cross multiply
    19,332.32x = 29,004 × 9,474.48
  4. Step 4: Simplify right side
    19,332.32x = 274,797,817.92
  5. Step 5: Solve for x
    x = 274,797,817.92/19,332.32
  6. Step 6: Final answer
    x = 14,214.43

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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.