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Finding the Fourth Proportional to 16,152.52, 24,224.10 and 6,289.60

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Solution

The fourth proportional to 16,152.52, 24,224.10 and 6,289.60 is: 9,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.52 : 24,224.10 = 6,289.60 : x
  2. Step 2: Convert to fraction form
    16,152.52/24,224.10 = 6,289.60/x
  3. Step 3: Cross multiply
    16,152.52x = 24,224.10 × 6,289.60
  4. Step 4: Simplify right side
    16,152.52x = 152,359,899.36
  5. Step 5: Solve for x
    x = 152,359,899.36/16,152.52
  6. Step 6: Final answer
    x = 9,432.58

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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.