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Finding the Fourth Proportional to 17,762.32, 24,503.88 and 10,306

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Solution

The fourth proportional to 17,762.32, 24,503.88 and 10,306 is: 14,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.32 : 24,503.88 = 10,306 : x
  2. Step 2: Convert to fraction form
    17,762.32/24,503.88 = 10,306/x
  3. Step 3: Cross multiply
    17,762.32x = 24,503.88 × 10,306
  4. Step 4: Simplify right side
    17,762.32x = 252,536,987.28
  5. Step 5: Solve for x
    x = 252,536,987.28/17,762.32
  6. Step 6: Final answer
    x = 14,217.57

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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.