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Finding the Fourth Proportional to 27,122.76, 40,688.46 and 8,402.04

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Solution

The fourth proportional to 27,122.76, 40,688.46 and 8,402.04 is: 12,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.76 : 40,688.46 = 8,402.04 : x
  2. Step 2: Convert to fraction form
    27,122.76/40,688.46 = 8,402.04/x
  3. Step 3: Cross multiply
    27,122.76x = 40,688.46 × 8,402.04
  4. Step 4: Simplify right side
    27,122.76x = 341,866,068.46
  5. Step 5: Solve for x
    x = 341,866,068.46/27,122.76
  6. Step 6: Final answer
    x = 12,604.40

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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.