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Finding the Fourth Proportional to 20,597.32, 30,897.60 and 8,116.48

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Solution

The fourth proportional to 20,597.32, 30,897.60 and 8,116.48 is: 12,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.32 : 30,897.60 = 8,116.48 : x
  2. Step 2: Convert to fraction form
    20,597.32/30,897.60 = 8,116.48/x
  3. Step 3: Cross multiply
    20,597.32x = 30,897.60 × 8,116.48
  4. Step 4: Simplify right side
    20,597.32x = 250,779,752.45
  5. Step 5: Solve for x
    x = 250,779,752.45/20,597.32
  6. Step 6: Final answer
    x = 12,175.36

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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.