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Finding the Fourth Proportional to 16,482.88, 24,724.10 and 4,003

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Solution

The fourth proportional to 16,482.88, 24,724.10 and 4,003 is: 6,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.88 : 24,724.10 = 4,003 : x
  2. Step 2: Convert to fraction form
    16,482.88/24,724.10 = 4,003/x
  3. Step 3: Cross multiply
    16,482.88x = 24,724.10 × 4,003
  4. Step 4: Simplify right side
    16,482.88x = 98,970,552.29
  5. Step 5: Solve for x
    x = 98,970,552.29/16,482.88
  6. Step 6: Final answer
    x = 6,004.45

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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.