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Finding the Fourth Proportional to 13,214.76, 19,810.62 and 5,001

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Solution

The fourth proportional to 13,214.76, 19,810.62 and 5,001 is: 7,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.76 : 19,810.62 = 5,001 : x
  2. Step 2: Convert to fraction form
    13,214.76/19,810.62 = 5,001/x
  3. Step 3: Cross multiply
    13,214.76x = 19,810.62 × 5,001
  4. Step 4: Simplify right side
    13,214.76x = 99,072,910.62
  5. Step 5: Solve for x
    x = 99,072,910.62/13,214.76
  6. Step 6: Final answer
    x = 7,497.14

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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.