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Finding the Fourth Proportional to 14,176, 21,263.59 and 4,313.85

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Solution

The fourth proportional to 14,176, 21,263.59 and 4,313.85 is: 6,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176 : 21,263.59 = 4,313.85 : x
  2. Step 2: Convert to fraction form
    14,176/21,263.59 = 4,313.85/x
  3. Step 3: Cross multiply
    14,176x = 21,263.59 × 4,313.85
  4. Step 4: Simplify right side
    14,176x = 91,727,937.72
  5. Step 5: Solve for x
    x = 91,727,937.72/14,176
  6. Step 6: Final answer
    x = 6,470.65

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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.