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Finding the Fourth Proportional to 23,636, 32,617.54 and 12,880.86

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Solution

The fourth proportional to 23,636, 32,617.54 and 12,880.86 is: 17,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,636 : 32,617.54 = 12,880.86 : x
  2. Step 2: Convert to fraction form
    23,636/32,617.54 = 12,880.86/x
  3. Step 3: Cross multiply
    23,636x = 32,617.54 × 12,880.86
  4. Step 4: Simplify right side
    23,636x = 420,141,966.28
  5. Step 5: Solve for x
    x = 420,141,966.28/23,636
  6. Step 6: Final answer
    x = 17,775.51

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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.