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Finding the Fourth Proportional to 21,762.63, 32,613.42 and 9,265.74

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Solution

The fourth proportional to 21,762.63, 32,613.42 and 9,265.74 is: 13,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.63 : 32,613.42 = 9,265.74 : x
  2. Step 2: Convert to fraction form
    21,762.63/32,613.42 = 9,265.74/x
  3. Step 3: Cross multiply
    21,762.63x = 32,613.42 × 9,265.74
  4. Step 4: Simplify right side
    21,762.63x = 302,187,470.23
  5. Step 5: Solve for x
    x = 302,187,470.23/21,762.63
  6. Step 6: Final answer
    x = 13,885.61

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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.