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Finding the Fourth Proportional to 14,147.50, 21,231 and 4,913.50

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Solution

The fourth proportional to 14,147.50, 21,231 and 4,913.50 is: 7,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.50 : 21,231 = 4,913.50 : x
  2. Step 2: Convert to fraction form
    14,147.50/21,231 = 4,913.50/x
  3. Step 3: Cross multiply
    14,147.50x = 21,231 × 4,913.50
  4. Step 4: Simplify right side
    14,147.50x = 104,318,518.50
  5. Step 5: Solve for x
    x = 104,318,518.50/14,147.50
  6. Step 6: Final answer
    x = 7,373.64

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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.