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Finding the Fourth Proportional to 16,392.16, 24,598 and 6,004.64

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Solution

The fourth proportional to 16,392.16, 24,598 and 6,004.64 is: 9,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392.16 : 24,598 = 6,004.64 : x
  2. Step 2: Convert to fraction form
    16,392.16/24,598 = 6,004.64/x
  3. Step 3: Cross multiply
    16,392.16x = 24,598 × 6,004.64
  4. Step 4: Simplify right side
    16,392.16x = 147,702,134.72
  5. Step 5: Solve for x
    x = 147,702,134.72/16,392.16
  6. Step 6: Final answer
    x = 9,010.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.