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Finding the Fourth Proportional to 11,332.50, 17,000.19 and 3,124.50

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Solution

The fourth proportional to 11,332.50, 17,000.19 and 3,124.50 is: 4,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.50 : 17,000.19 = 3,124.50 : x
  2. Step 2: Convert to fraction form
    11,332.50/17,000.19 = 3,124.50/x
  3. Step 3: Cross multiply
    11,332.50x = 17,000.19 × 3,124.50
  4. Step 4: Simplify right side
    11,332.50x = 53,117,093.66
  5. Step 5: Solve for x
    x = 53,117,093.66/11,332.50
  6. Step 6: Final answer
    x = 4,687.15

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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.