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Finding the Fourth Proportional to 15,769.68, 23,654 and 6,406.93

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Solution

The fourth proportional to 15,769.68, 23,654 and 6,406.93 is: 9,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.68 : 23,654 = 6,406.93 : x
  2. Step 2: Convert to fraction form
    15,769.68/23,654 = 6,406.93/x
  3. Step 3: Cross multiply
    15,769.68x = 23,654 × 6,406.93
  4. Step 4: Simplify right side
    15,769.68x = 151,549,403.95
  5. Step 5: Solve for x
    x = 151,549,403.95/15,769.68
  6. Step 6: Final answer
    x = 9,610.18

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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.