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Finding the Fourth Proportional to 14,113.67, 21,174.03 and 7,097.50

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Solution

The fourth proportional to 14,113.67, 21,174.03 and 7,097.50 is: 10,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.67 : 21,174.03 = 7,097.50 : x
  2. Step 2: Convert to fraction form
    14,113.67/21,174.03 = 7,097.50/x
  3. Step 3: Cross multiply
    14,113.67x = 21,174.03 × 7,097.50
  4. Step 4: Simplify right side
    14,113.67x = 150,282,664.80
  5. Step 5: Solve for x
    x = 150,282,664.80/14,113.67
  6. Step 6: Final answer
    x = 10,648.02

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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.