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Finding the Fourth Proportional to 19,576.30, 29,364.45 and 6,429.10

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Solution

The fourth proportional to 19,576.30, 29,364.45 and 6,429.10 is: 9,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576.30 : 29,364.45 = 6,429.10 : x
  2. Step 2: Convert to fraction form
    19,576.30/29,364.45 = 6,429.10/x
  3. Step 3: Cross multiply
    19,576.30x = 29,364.45 × 6,429.10
  4. Step 4: Simplify right side
    19,576.30x = 188,786,985.50
  5. Step 5: Solve for x
    x = 188,786,985.50/19,576.30
  6. Step 6: Final answer
    x = 9,643.65

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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.