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Finding the Fourth Proportional to 23,292, 32,143.53 and 12,682.21

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Solution

The fourth proportional to 23,292, 32,143.53 and 12,682.21 is: 17,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,292 : 32,143.53 = 12,682.21 : x
  2. Step 2: Convert to fraction form
    23,292/32,143.53 = 12,682.21/x
  3. Step 3: Cross multiply
    23,292x = 32,143.53 × 12,682.21
  4. Step 4: Simplify right side
    23,292x = 407,650,997.60
  5. Step 5: Solve for x
    x = 407,650,997.60/23,292
  6. Step 6: Final answer
    x = 17,501.76

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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.