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Finding the Fourth Proportional to 17,838.88, 24,612 and 10,385.44

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Solution

The fourth proportional to 17,838.88, 24,612 and 10,385.44 is: 14,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.88 : 24,612 = 10,385.44 : x
  2. Step 2: Convert to fraction form
    17,838.88/24,612 = 10,385.44/x
  3. Step 3: Cross multiply
    17,838.88x = 24,612 × 10,385.44
  4. Step 4: Simplify right side
    17,838.88x = 255,606,449.28
  5. Step 5: Solve for x
    x = 255,606,449.28/17,838.88
  6. Step 6: Final answer
    x = 14,328.62

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1.5x scale

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.