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Finding the Fourth Proportional to 23,407.53, 32,302.38 and 12,797.16

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Solution

The fourth proportional to 23,407.53, 32,302.38 and 12,797.16 is: 17,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.53 : 32,302.38 = 12,797.16 : x
  2. Step 2: Convert to fraction form
    23,407.53/32,302.38 = 12,797.16/x
  3. Step 3: Cross multiply
    23,407.53x = 32,302.38 × 12,797.16
  4. Step 4: Simplify right side
    23,407.53x = 413,378,652.10
  5. Step 5: Solve for x
    x = 413,378,652.10/23,407.53
  6. Step 6: Final answer
    x = 17,660.07

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Why These Related Problems?

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