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Finding the Fourth Proportional to 13,970.45, 20,959.16 and 4,611

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Solution

The fourth proportional to 13,970.45, 20,959.16 and 4,611 is: 6,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.45 : 20,959.16 = 4,611 : x
  2. Step 2: Convert to fraction form
    13,970.45/20,959.16 = 4,611/x
  3. Step 3: Cross multiply
    13,970.45x = 20,959.16 × 4,611
  4. Step 4: Simplify right side
    13,970.45x = 96,642,686.76
  5. Step 5: Solve for x
    x = 96,642,686.76/13,970.45
  6. Step 6: Final answer
    x = 6,917.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.