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Finding the Fourth Proportional to 12,357.96, 18,528.10 and 5,780.55

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Solution

The fourth proportional to 12,357.96, 18,528.10 and 5,780.55 is: 8,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.96 : 18,528.10 = 5,780.55 : x
  2. Step 2: Convert to fraction form
    12,357.96/18,528.10 = 5,780.55/x
  3. Step 3: Cross multiply
    12,357.96x = 18,528.10 × 5,780.55
  4. Step 4: Simplify right side
    12,357.96x = 107,102,608.46
  5. Step 5: Solve for x
    x = 107,102,608.46/12,357.96
  6. Step 6: Final answer
    x = 8,666.69

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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.