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Finding the Fourth Proportional to 20,556.30, 30,823.65 and 7,406.70

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Solution

The fourth proportional to 20,556.30, 30,823.65 and 7,406.70 is: 11,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,556.30 : 30,823.65 = 7,406.70 : x
  2. Step 2: Convert to fraction form
    20,556.30/30,823.65 = 7,406.70/x
  3. Step 3: Cross multiply
    20,556.30x = 30,823.65 × 7,406.70
  4. Step 4: Simplify right side
    20,556.30x = 228,301,528.46
  5. Step 5: Solve for x
    x = 228,301,528.46/20,556.30
  6. Step 6: Final answer
    x = 11,106.16

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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.