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Finding the Fourth Proportional to 17,407.87, 24,021.02 and 9,853.00

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Solution

The fourth proportional to 17,407.87, 24,021.02 and 9,853.00 is: 13,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.87 : 24,021.02 = 9,853.00 : x
  2. Step 2: Convert to fraction form
    17,407.87/24,021.02 = 9,853.00/x
  3. Step 3: Cross multiply
    17,407.87x = 24,021.02 × 9,853.00
  4. Step 4: Simplify right side
    17,407.87x = 236,679,074.64
  5. Step 5: Solve for x
    x = 236,679,074.64/17,407.87
  6. Step 6: Final answer
    x = 13,596.10

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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.