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Finding the Fourth Proportional to 16,300.02, 24,442.65 and 6,431.70

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Solution

The fourth proportional to 16,300.02, 24,442.65 and 6,431.70 is: 9,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.02 : 24,442.65 = 6,431.70 : x
  2. Step 2: Convert to fraction form
    16,300.02/24,442.65 = 6,431.70/x
  3. Step 3: Cross multiply
    16,300.02x = 24,442.65 × 6,431.70
  4. Step 4: Simplify right side
    16,300.02x = 157,207,792.01
  5. Step 5: Solve for x
    x = 157,207,792.01/16,300.02
  6. Step 6: Final answer
    x = 9,644.64

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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.