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Finding the Fourth Proportional to 19,293.12, 28,945.16 and 6,146.50

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Solution

The fourth proportional to 19,293.12, 28,945.16 and 6,146.50 is: 9,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,293.12 : 28,945.16 = 6,146.50 : x
  2. Step 2: Convert to fraction form
    19,293.12/28,945.16 = 6,146.50/x
  3. Step 3: Cross multiply
    19,293.12x = 28,945.16 × 6,146.50
  4. Step 4: Simplify right side
    19,293.12x = 177,911,425.94
  5. Step 5: Solve for x
    x = 177,911,425.94/19,293.12
  6. Step 6: Final answer
    x = 9,221.50

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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.