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Finding the Fourth Proportional to 21,598.65, 32,375.76 and 8,268.50

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Solution

The fourth proportional to 21,598.65, 32,375.76 and 8,268.50 is: 12,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.65 : 32,375.76 = 8,268.50 : x
  2. Step 2: Convert to fraction form
    21,598.65/32,375.76 = 8,268.50/x
  3. Step 3: Cross multiply
    21,598.65x = 32,375.76 × 8,268.50
  4. Step 4: Simplify right side
    21,598.65x = 267,699,011.16
  5. Step 5: Solve for x
    x = 267,699,011.16/21,598.65
  6. Step 6: Final answer
    x = 12,394.25

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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.