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Finding the Fourth Proportional to 14,684.87, 20,265.32 and 7,970.58

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Solution

The fourth proportional to 14,684.87, 20,265.32 and 7,970.58 is: 10,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.87 : 20,265.32 = 7,970.58 : x
  2. Step 2: Convert to fraction form
    14,684.87/20,265.32 = 7,970.58/x
  3. Step 3: Cross multiply
    14,684.87x = 20,265.32 × 7,970.58
  4. Step 4: Simplify right side
    14,684.87x = 161,526,354.29
  5. Step 5: Solve for x
    x = 161,526,354.29/14,684.87
  6. Step 6: Final answer
    x = 10,999.51

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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.