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Finding the Fourth Proportional to 16,152.80, 24,214.84 and 6,289.80

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Solution

The fourth proportional to 16,152.80, 24,214.84 and 6,289.80 is: 9,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.80 : 24,214.84 = 6,289.80 : x
  2. Step 2: Convert to fraction form
    16,152.80/24,214.84 = 6,289.80/x
  3. Step 3: Cross multiply
    16,152.80x = 24,214.84 × 6,289.80
  4. Step 4: Simplify right side
    16,152.80x = 152,306,500.63
  5. Step 5: Solve for x
    x = 152,306,500.63/16,152.80
  6. Step 6: Final answer
    x = 9,429.11

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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.