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Finding the Fourth Proportional to 17,630, 24,329.40 and 10,178

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Solution

The fourth proportional to 17,630, 24,329.40 and 10,178 is: 14,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630 : 24,329.40 = 10,178 : x
  2. Step 2: Convert to fraction form
    17,630/24,329.40 = 10,178/x
  3. Step 3: Cross multiply
    17,630x = 24,329.40 × 10,178
  4. Step 4: Simplify right side
    17,630x = 247,624,633.20
  5. Step 5: Solve for x
    x = 247,624,633.20/17,630
  6. Step 6: Final answer
    x = 14,045.64

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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.