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Finding the Fourth Proportional to 23,686.63, 32,687.03 and 12,931.13

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Solution

The fourth proportional to 23,686.63, 32,687.03 and 12,931.13 is: 17,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.63 : 32,687.03 = 12,931.13 : x
  2. Step 2: Convert to fraction form
    23,686.63/32,687.03 = 12,931.13/x
  3. Step 3: Cross multiply
    23,686.63x = 32,687.03 × 12,931.13
  4. Step 4: Simplify right side
    23,686.63x = 422,680,169.59
  5. Step 5: Solve for x
    x = 422,680,169.59/23,686.63
  6. Step 6: Final answer
    x = 17,844.68

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1.5x scale

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.