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Finding the Fourth Proportional to 24,017.80, 35,999.70 and 11,543.80

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Solution

The fourth proportional to 24,017.80, 35,999.70 and 11,543.80 is: 17,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.80 : 35,999.70 = 11,543.80 : x
  2. Step 2: Convert to fraction form
    24,017.80/35,999.70 = 11,543.80/x
  3. Step 3: Cross multiply
    24,017.80x = 35,999.70 × 11,543.80
  4. Step 4: Simplify right side
    24,017.80x = 415,573,336.86
  5. Step 5: Solve for x
    x = 415,573,336.86/24,017.80
  6. Step 6: Final answer
    x = 17,302.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.