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Finding the Fourth Proportional to 21,748.68, 32,627.02 and 9,268.68

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Solution

The fourth proportional to 21,748.68, 32,627.02 and 9,268.68 is: 13,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.68 : 32,627.02 = 9,268.68 : x
  2. Step 2: Convert to fraction form
    21,748.68/32,627.02 = 9,268.68/x
  3. Step 3: Cross multiply
    21,748.68x = 32,627.02 × 9,268.68
  4. Step 4: Simplify right side
    21,748.68x = 302,409,407.73
  5. Step 5: Solve for x
    x = 302,409,407.73/21,748.68
  6. Step 6: Final answer
    x = 13,904.72

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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.