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Finding the Fourth Proportional to 17,909.92, 24,717.36 and 10,838.08

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Solution

The fourth proportional to 17,909.92, 24,717.36 and 10,838.08 is: 14,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.92 : 24,717.36 = 10,838.08 : x
  2. Step 2: Convert to fraction form
    17,909.92/24,717.36 = 10,838.08/x
  3. Step 3: Cross multiply
    17,909.92x = 24,717.36 × 10,838.08
  4. Step 4: Simplify right side
    17,909.92x = 267,888,725.07
  5. Step 5: Solve for x
    x = 267,888,725.07/17,909.92
  6. Step 6: Final answer
    x = 14,957.56

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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.