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Finding the Fourth Proportional to 20,307.60, 30,460.60 and 6,456.08

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Solution

The fourth proportional to 20,307.60, 30,460.60 and 6,456.08 is: 9,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.60 : 30,460.60 = 6,456.08 : x
  2. Step 2: Convert to fraction form
    20,307.60/30,460.60 = 6,456.08/x
  3. Step 3: Cross multiply
    20,307.60x = 30,460.60 × 6,456.08
  4. Step 4: Simplify right side
    20,307.60x = 196,656,070.45
  5. Step 5: Solve for x
    x = 196,656,070.45/20,307.60
  6. Step 6: Final answer
    x = 9,683.87

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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.