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Finding the Fourth Proportional to 19,752.39, 29,628.62 and 7,911.50

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Solution

The fourth proportional to 19,752.39, 29,628.62 and 7,911.50 is: 11,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.39 : 29,628.62 = 7,911.50 : x
  2. Step 2: Convert to fraction form
    19,752.39/29,628.62 = 7,911.50/x
  3. Step 3: Cross multiply
    19,752.39x = 29,628.62 × 7,911.50
  4. Step 4: Simplify right side
    19,752.39x = 234,406,639.43
  5. Step 5: Solve for x
    x = 234,406,639.43/19,752.39
  6. Step 6: Final answer
    x = 11,867.25

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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.