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Finding the Fourth Proportional to 12,420.61, 18,632.76 and 4,101.50

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Solution

The fourth proportional to 12,420.61, 18,632.76 and 4,101.50 is: 6,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.61 : 18,632.76 = 4,101.50 : x
  2. Step 2: Convert to fraction form
    12,420.61/18,632.76 = 4,101.50/x
  3. Step 3: Cross multiply
    12,420.61x = 18,632.76 × 4,101.50
  4. Step 4: Simplify right side
    12,420.61x = 76,422,265.14
  5. Step 5: Solve for x
    x = 76,422,265.14/12,420.61
  6. Step 6: Final answer
    x = 6,152.86

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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.