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Finding the Fourth Proportional to 19,187.50, 28,782.88 and 5,336.50

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Solution

The fourth proportional to 19,187.50, 28,782.88 and 5,336.50 is: 8,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,187.50 : 28,782.88 = 5,336.50 : x
  2. Step 2: Convert to fraction form
    19,187.50/28,782.88 = 5,336.50/x
  3. Step 3: Cross multiply
    19,187.50x = 28,782.88 × 5,336.50
  4. Step 4: Simplify right side
    19,187.50x = 153,599,839.12
  5. Step 5: Solve for x
    x = 153,599,839.12/19,187.50
  6. Step 6: Final answer
    x = 8,005.20

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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.