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Finding the Fourth Proportional to 23,840.64, 32,900.76 and 13,086

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Solution

The fourth proportional to 23,840.64, 32,900.76 and 13,086 is: 18,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.64 : 32,900.76 = 13,086 : x
  2. Step 2: Convert to fraction form
    23,840.64/32,900.76 = 13,086/x
  3. Step 3: Cross multiply
    23,840.64x = 32,900.76 × 13,086
  4. Step 4: Simplify right side
    23,840.64x = 430,539,345.36
  5. Step 5: Solve for x
    x = 430,539,345.36/23,840.64
  6. Step 6: Final answer
    x = 18,059.05

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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.