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Finding the Fourth Proportional to 14,830.50, 20,459.19 and 8,539.23

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Solution

The fourth proportional to 14,830.50, 20,459.19 and 8,539.23 is: 11,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.50 : 20,459.19 = 8,539.23 : x
  2. Step 2: Convert to fraction form
    14,830.50/20,459.19 = 8,539.23/x
  3. Step 3: Cross multiply
    14,830.50x = 20,459.19 × 8,539.23
  4. Step 4: Simplify right side
    14,830.50x = 174,705,729.02
  5. Step 5: Solve for x
    x = 174,705,729.02/14,830.50
  6. Step 6: Final answer
    x = 11,780.16

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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.