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Finding the Fourth Proportional to 13,311.18, 19,970.82 and 4,546.08

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Solution

The fourth proportional to 13,311.18, 19,970.82 and 4,546.08 is: 6,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.18 : 19,970.82 = 4,546.08 : x
  2. Step 2: Convert to fraction form
    13,311.18/19,970.82 = 4,546.08/x
  3. Step 3: Cross multiply
    13,311.18x = 19,970.82 × 4,546.08
  4. Step 4: Simplify right side
    13,311.18x = 90,788,945.39
  5. Step 5: Solve for x
    x = 90,788,945.39/13,311.18
  6. Step 6: Final answer
    x = 6,820.50

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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.