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Finding the Fourth Proportional to 17,963.68, 24,783.12 and 10,407.24

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Solution

The fourth proportional to 17,963.68, 24,783.12 and 10,407.24 is: 14,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,963.68 : 24,783.12 = 10,407.24 : x
  2. Step 2: Convert to fraction form
    17,963.68/24,783.12 = 10,407.24/x
  3. Step 3: Cross multiply
    17,963.68x = 24,783.12 × 10,407.24
  4. Step 4: Simplify right side
    17,963.68x = 257,923,877.79
  5. Step 5: Solve for x
    x = 257,923,877.79/17,963.68
  6. Step 6: Final answer
    x = 14,358.08

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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.