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Finding the Fourth Proportional to 13,312.50, 19,968.21 and 3,952.14

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Solution

The fourth proportional to 13,312.50, 19,968.21 and 3,952.14 is: 5,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.50 : 19,968.21 = 3,952.14 : x
  2. Step 2: Convert to fraction form
    13,312.50/19,968.21 = 3,952.14/x
  3. Step 3: Cross multiply
    13,312.50x = 19,968.21 × 3,952.14
  4. Step 4: Simplify right side
    13,312.50x = 78,917,161.47
  5. Step 5: Solve for x
    x = 78,917,161.47/13,312.50
  6. Step 6: Final answer
    x = 5,928.05

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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.