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Finding the Fourth Proportional to 16,152.65, 24,224.29 and 6,289.73

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Solution

The fourth proportional to 16,152.65, 24,224.29 and 6,289.73 is: 9,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.65 : 24,224.29 = 6,289.73 : x
  2. Step 2: Convert to fraction form
    16,152.65/24,224.29 = 6,289.73/x
  3. Step 3: Cross multiply
    16,152.65x = 24,224.29 × 6,289.73
  4. Step 4: Simplify right side
    16,152.65x = 152,364,106.70
  5. Step 5: Solve for x
    x = 152,364,106.70/16,152.65
  6. Step 6: Final answer
    x = 9,432.77

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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.