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Finding the Fourth Proportional to 18,420.67, 27,607.76 and 7,878.22

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Solution

The fourth proportional to 18,420.67, 27,607.76 and 7,878.22 is: 11,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420.67 : 27,607.76 = 7,878.22 : x
  2. Step 2: Convert to fraction form
    18,420.67/27,607.76 = 7,878.22/x
  3. Step 3: Cross multiply
    18,420.67x = 27,607.76 × 7,878.22
  4. Step 4: Simplify right side
    18,420.67x = 217,499,967.60
  5. Step 5: Solve for x
    x = 217,499,967.60/18,420.67
  6. Step 6: Final answer
    x = 11,807.39

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1.5x scale

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.