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Finding the Fourth Proportional to 13,458.69, 20,188.08 and 4,693.50

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Solution

The fourth proportional to 13,458.69, 20,188.08 and 4,693.50 is: 7,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.69 : 20,188.08 = 4,693.50 : x
  2. Step 2: Convert to fraction form
    13,458.69/20,188.08 = 4,693.50/x
  3. Step 3: Cross multiply
    13,458.69x = 20,188.08 × 4,693.50
  4. Step 4: Simplify right side
    13,458.69x = 94,752,753.48
  5. Step 5: Solve for x
    x = 94,752,753.48/13,458.69
  6. Step 6: Final answer
    x = 7,040.27

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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.