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Finding the Fourth Proportional to 27,960.66, 41,942.88 and 10,430.46

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Solution

The fourth proportional to 27,960.66, 41,942.88 and 10,430.46 is: 15,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960.66 : 41,942.88 = 10,430.46 : x
  2. Step 2: Convert to fraction form
    27,960.66/41,942.88 = 10,430.46/x
  3. Step 3: Cross multiply
    27,960.66x = 41,942.88 × 10,430.46
  4. Step 4: Simplify right side
    27,960.66x = 437,483,532.12
  5. Step 5: Solve for x
    x = 437,483,532.12/27,960.66
  6. Step 6: Final answer
    x = 15,646.40

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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.