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Finding the Fourth Proportional to 12,176.67, 18,254.04 and 4,380

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Solution

The fourth proportional to 12,176.67, 18,254.04 and 4,380 is: 6,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.67 : 18,254.04 = 4,380 : x
  2. Step 2: Convert to fraction form
    12,176.67/18,254.04 = 4,380/x
  3. Step 3: Cross multiply
    12,176.67x = 18,254.04 × 4,380
  4. Step 4: Simplify right side
    12,176.67x = 79,952,695.20
  5. Step 5: Solve for x
    x = 79,952,695.20/12,176.67
  6. Step 6: Final answer
    x = 6,566.06

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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.