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Finding the Fourth Proportional to 14,684.90, 20,265.32 and 7,970.59

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Solution

The fourth proportional to 14,684.90, 20,265.32 and 7,970.59 is: 10,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.90 : 20,265.32 = 7,970.59 : x
  2. Step 2: Convert to fraction form
    14,684.90/20,265.32 = 7,970.59/x
  3. Step 3: Cross multiply
    14,684.90x = 20,265.32 × 7,970.59
  4. Step 4: Simplify right side
    14,684.90x = 161,526,466.42
  5. Step 5: Solve for x
    x = 161,526,466.42/14,684.90
  6. Step 6: Final answer
    x = 10,999.49

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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.