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Finding the Fourth Proportional to 16,024.32, 24,048 and 9,872.64

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Solution

The fourth proportional to 16,024.32, 24,048 and 9,872.64 is: 14,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.32 : 24,048 = 9,872.64 : x
  2. Step 2: Convert to fraction form
    16,024.32/24,048 = 9,872.64/x
  3. Step 3: Cross multiply
    16,024.32x = 24,048 × 9,872.64
  4. Step 4: Simplify right side
    16,024.32x = 237,417,246.72
  5. Step 5: Solve for x
    x = 237,417,246.72/16,024.32
  6. Step 6: Final answer
    x = 14,816.06

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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.