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Finding the Fourth Proportional to 27,142.04, 40,715.76 and 8,421.32

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Solution

The fourth proportional to 27,142.04, 40,715.76 and 8,421.32 is: 12,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.04 : 40,715.76 = 8,421.32 : x
  2. Step 2: Convert to fraction form
    27,142.04/40,715.76 = 8,421.32/x
  3. Step 3: Cross multiply
    27,142.04x = 40,715.76 × 8,421.32
  4. Step 4: Simplify right side
    27,142.04x = 342,880,444.00
  5. Step 5: Solve for x
    x = 342,880,444.00/27,142.04
  6. Step 6: Final answer
    x = 12,632.82

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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.