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Finding the Fourth Proportional to 23,407.42, 32,302.17 and 12,797.07

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Solution

The fourth proportional to 23,407.42, 32,302.17 and 12,797.07 is: 17,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.42 : 32,302.17 = 12,797.07 : x
  2. Step 2: Convert to fraction form
    23,407.42/32,302.17 = 12,797.07/x
  3. Step 3: Cross multiply
    23,407.42x = 32,302.17 × 12,797.07
  4. Step 4: Simplify right side
    23,407.42x = 413,373,130.64
  5. Step 5: Solve for x
    x = 413,373,130.64/23,407.42
  6. Step 6: Final answer
    x = 17,659.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.