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Finding the Fourth Proportional to 12,176.78, 18,263.76 and 3,412.40

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Solution

The fourth proportional to 12,176.78, 18,263.76 and 3,412.40 is: 5,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.78 : 18,263.76 = 3,412.40 : x
  2. Step 2: Convert to fraction form
    12,176.78/18,263.76 = 3,412.40/x
  3. Step 3: Cross multiply
    12,176.78x = 18,263.76 × 3,412.40
  4. Step 4: Simplify right side
    12,176.78x = 62,323,254.62
  5. Step 5: Solve for x
    x = 62,323,254.62/12,176.78
  6. Step 6: Final answer
    x = 5,118.20

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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.