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Finding the Fourth Proportional to 15,420.96, 23,139.54 and 8,406

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Solution

The fourth proportional to 15,420.96, 23,139.54 and 8,406 is: 12,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.96 : 23,139.54 = 8,406 : x
  2. Step 2: Convert to fraction form
    15,420.96/23,139.54 = 8,406/x
  3. Step 3: Cross multiply
    15,420.96x = 23,139.54 × 8,406
  4. Step 4: Simplify right side
    15,420.96x = 194,510,973.24
  5. Step 5: Solve for x
    x = 194,510,973.24/15,420.96
  6. Step 6: Final answer
    x = 12,613.42

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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.