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Finding the Fourth Proportional to 28,405.86, 42,595.70 and 8,408.20

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Solution

The fourth proportional to 28,405.86, 42,595.70 and 8,408.20 is: 12,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,405.86 : 42,595.70 = 8,408.20 : x
  2. Step 2: Convert to fraction form
    28,405.86/42,595.70 = 8,408.20/x
  3. Step 3: Cross multiply
    28,405.86x = 42,595.70 × 8,408.20
  4. Step 4: Simplify right side
    28,405.86x = 358,153,089.77
  5. Step 5: Solve for x
    x = 358,153,089.77/28,405.86
  6. Step 6: Final answer
    x = 12,608.42

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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.