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Finding the Fourth Proportional to 17,461.80, 24,097.23 and 9,504

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Solution

The fourth proportional to 17,461.80, 24,097.23 and 9,504 is: 13,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.80 : 24,097.23 = 9,504 : x
  2. Step 2: Convert to fraction form
    17,461.80/24,097.23 = 9,504/x
  3. Step 3: Cross multiply
    17,461.80x = 24,097.23 × 9,504
  4. Step 4: Simplify right side
    17,461.80x = 229,020,073.92
  5. Step 5: Solve for x
    x = 229,020,073.92/17,461.80
  6. Step 6: Final answer
    x = 13,115.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.