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Finding the Fourth Proportional to 19,508.52, 29,262.72 and 7,829.94

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Solution

The fourth proportional to 19,508.52, 29,262.72 and 7,829.94 is: 11,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508.52 : 29,262.72 = 7,829.94 : x
  2. Step 2: Convert to fraction form
    19,508.52/29,262.72 = 7,829.94/x
  3. Step 3: Cross multiply
    19,508.52x = 29,262.72 × 7,829.94
  4. Step 4: Simplify right side
    19,508.52x = 229,125,341.84
  5. Step 5: Solve for x
    x = 229,125,341.84/19,508.52
  6. Step 6: Final answer
    x = 11,744.89

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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.