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Finding the Fourth Proportional to 15,612.96, 23,405.84 and 7,288.80

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Solution

The fourth proportional to 15,612.96, 23,405.84 and 7,288.80 is: 10,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,612.96 : 23,405.84 = 7,288.80 : x
  2. Step 2: Convert to fraction form
    15,612.96/23,405.84 = 7,288.80/x
  3. Step 3: Cross multiply
    15,612.96x = 23,405.84 × 7,288.80
  4. Step 4: Simplify right side
    15,612.96x = 170,600,486.59
  5. Step 5: Solve for x
    x = 170,600,486.59/15,612.96
  6. Step 6: Final answer
    x = 10,926.85

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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.