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Finding the Fourth Proportional to 16,503.17, 24,753 and 4,656.65

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Solution

The fourth proportional to 16,503.17, 24,753 and 4,656.65 is: 6,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.17 : 24,753 = 4,656.65 : x
  2. Step 2: Convert to fraction form
    16,503.17/24,753 = 4,656.65/x
  3. Step 3: Cross multiply
    16,503.17x = 24,753 × 4,656.65
  4. Step 4: Simplify right side
    16,503.17x = 115,266,057.45
  5. Step 5: Solve for x
    x = 115,266,057.45/16,503.17
  6. Step 6: Final answer
    x = 6,984.48

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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.