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Finding the Fourth Proportional to 14,935.56, 22,402.53 and 4,546.50

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Solution

The fourth proportional to 14,935.56, 22,402.53 and 4,546.50 is: 6,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935.56 : 22,402.53 = 4,546.50 : x
  2. Step 2: Convert to fraction form
    14,935.56/22,402.53 = 4,546.50/x
  3. Step 3: Cross multiply
    14,935.56x = 22,402.53 × 4,546.50
  4. Step 4: Simplify right side
    14,935.56x = 101,853,102.65
  5. Step 5: Solve for x
    x = 101,853,102.65/14,935.56
  6. Step 6: Final answer
    x = 6,819.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.