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Finding the Fourth Proportional to 14,186.53, 19,576.65 and 7,898.50

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Solution

The fourth proportional to 14,186.53, 19,576.65 and 7,898.50 is: 10,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.53 : 19,576.65 = 7,898.50 : x
  2. Step 2: Convert to fraction form
    14,186.53/19,576.65 = 7,898.50/x
  3. Step 3: Cross multiply
    14,186.53x = 19,576.65 × 7,898.50
  4. Step 4: Simplify right side
    14,186.53x = 154,626,170.03
  5. Step 5: Solve for x
    x = 154,626,170.03/14,186.53
  6. Step 6: Final answer
    x = 10,899.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.