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Finding the Fourth Proportional to 17,833.23, 24,611.24 and 9,876.20

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Solution

The fourth proportional to 17,833.23, 24,611.24 and 9,876.20 is: 13,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.23 : 24,611.24 = 9,876.20 : x
  2. Step 2: Convert to fraction form
    17,833.23/24,611.24 = 9,876.20/x
  3. Step 3: Cross multiply
    17,833.23x = 24,611.24 × 9,876.20
  4. Step 4: Simplify right side
    17,833.23x = 243,065,430.12
  5. Step 5: Solve for x
    x = 243,065,430.12/17,833.23
  6. Step 6: Final answer
    x = 13,629.92

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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.