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Finding the Fourth Proportional to 21,695.96, 32,514.50 and 9,834.92

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Solution

The fourth proportional to 21,695.96, 32,514.50 and 9,834.92 is: 14,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695.96 : 32,514.50 = 9,834.92 : x
  2. Step 2: Convert to fraction form
    21,695.96/32,514.50 = 9,834.92/x
  3. Step 3: Cross multiply
    21,695.96x = 32,514.50 × 9,834.92
  4. Step 4: Simplify right side
    21,695.96x = 319,777,506.34
  5. Step 5: Solve for x
    x = 319,777,506.34/21,695.96
  6. Step 6: Final answer
    x = 14,739.03

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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.