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Finding the Fourth Proportional to 17,877.72, 24,662.70 and 10,702.74

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Solution

The fourth proportional to 17,877.72, 24,662.70 and 10,702.74 is: 14,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.72 : 24,662.70 = 10,702.74 : x
  2. Step 2: Convert to fraction form
    17,877.72/24,662.70 = 10,702.74/x
  3. Step 3: Cross multiply
    17,877.72x = 24,662.70 × 10,702.74
  4. Step 4: Simplify right side
    17,877.72x = 263,958,465.80
  5. Step 5: Solve for x
    x = 263,958,465.80/17,877.72
  6. Step 6: Final answer
    x = 14,764.66

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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.