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Finding the Fourth Proportional to 23,283, 32,130.24 and 12,672.48

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Solution

The fourth proportional to 23,283, 32,130.24 and 12,672.48 is: 17,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283 : 32,130.24 = 12,672.48 : x
  2. Step 2: Convert to fraction form
    23,283/32,130.24 = 12,672.48/x
  3. Step 3: Cross multiply
    23,283x = 32,130.24 × 12,672.48
  4. Step 4: Simplify right side
    23,283x = 407,169,823.80
  5. Step 5: Solve for x
    x = 407,169,823.80/23,283
  6. Step 6: Final answer
    x = 17,487.86

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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.