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Finding the Fourth Proportional to 12,117.80, 18,176.70 and 3,798.50

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Solution

The fourth proportional to 12,117.80, 18,176.70 and 3,798.50 is: 5,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.80 : 18,176.70 = 3,798.50 : x
  2. Step 2: Convert to fraction form
    12,117.80/18,176.70 = 3,798.50/x
  3. Step 3: Cross multiply
    12,117.80x = 18,176.70 × 3,798.50
  4. Step 4: Simplify right side
    12,117.80x = 69,044,194.95
  5. Step 5: Solve for x
    x = 69,044,194.95/12,117.80
  6. Step 6: Final answer
    x = 5,697.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.