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Finding the Fourth Proportional to 16,313, 24,470.72 and 4,627.16

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Solution

The fourth proportional to 16,313, 24,470.72 and 4,627.16 is: 6,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313 : 24,470.72 = 4,627.16 : x
  2. Step 2: Convert to fraction form
    16,313/24,470.72 = 4,627.16/x
  3. Step 3: Cross multiply
    16,313x = 24,470.72 × 4,627.16
  4. Step 4: Simplify right side
    16,313x = 113,229,936.76
  5. Step 5: Solve for x
    x = 113,229,936.76/16,313
  6. Step 6: Final answer
    x = 6,941.09

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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.