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Finding the Fourth Proportional to 20,945.16, 31,407.90 and 8,455.08

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Solution

The fourth proportional to 20,945.16, 31,407.90 and 8,455.08 is: 12,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,945.16 : 31,407.90 = 8,455.08 : x
  2. Step 2: Convert to fraction form
    20,945.16/31,407.90 = 8,455.08/x
  3. Step 3: Cross multiply
    20,945.16x = 31,407.90 × 8,455.08
  4. Step 4: Simplify right side
    20,945.16x = 265,556,307.13
  5. Step 5: Solve for x
    x = 265,556,307.13/20,945.16
  6. Step 6: Final answer
    x = 12,678.65

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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.