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Finding the Fourth Proportional to 21,825.59, 32,741.10 and 8,498.86

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Solution

The fourth proportional to 21,825.59, 32,741.10 and 8,498.86 is: 12,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.59 : 32,741.10 = 8,498.86 : x
  2. Step 2: Convert to fraction form
    21,825.59/32,741.10 = 8,498.86/x
  3. Step 3: Cross multiply
    21,825.59x = 32,741.10 × 8,498.86
  4. Step 4: Simplify right side
    21,825.59x = 278,261,943.29
  5. Step 5: Solve for x
    x = 278,261,943.29/21,825.59
  6. Step 6: Final answer
    x = 12,749.35

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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.