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Finding the Fourth Proportional to 14,684.74, 20,264.40 and 7,970.23

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Solution

The fourth proportional to 14,684.74, 20,264.40 and 7,970.23 is: 10,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.74 : 20,264.40 = 7,970.23 : x
  2. Step 2: Convert to fraction form
    14,684.74/20,264.40 = 7,970.23/x
  3. Step 3: Cross multiply
    14,684.74x = 20,264.40 × 7,970.23
  4. Step 4: Simplify right side
    14,684.74x = 161,511,911.78
  5. Step 5: Solve for x
    x = 161,511,911.78/14,684.74
  6. Step 6: Final answer
    x = 10,998.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.