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Finding the Fourth Proportional to 17,651.98, 24,355.08 and 10,480

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Solution

The fourth proportional to 17,651.98, 24,355.08 and 10,480 is: 14,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.98 : 24,355.08 = 10,480 : x
  2. Step 2: Convert to fraction form
    17,651.98/24,355.08 = 10,480/x
  3. Step 3: Cross multiply
    17,651.98x = 24,355.08 × 10,480
  4. Step 4: Simplify right side
    17,651.98x = 255,241,238.40
  5. Step 5: Solve for x
    x = 255,241,238.40/17,651.98
  6. Step 6: Final answer
    x = 14,459.64

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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.