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Finding the Fourth Proportional to 16,415.12, 24,608.72 and 7,527.52

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Solution

The fourth proportional to 16,415.12, 24,608.72 and 7,527.52 is: 11,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.12 : 24,608.72 = 7,527.52 : x
  2. Step 2: Convert to fraction form
    16,415.12/24,608.72 = 7,527.52/x
  3. Step 3: Cross multiply
    16,415.12x = 24,608.72 × 7,527.52
  4. Step 4: Simplify right side
    16,415.12x = 185,242,631.97
  5. Step 5: Solve for x
    x = 185,242,631.97/16,415.12
  6. Step 6: Final answer
    x = 11,284.88

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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.