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Finding the Fourth Proportional to 23,798.81, 32,840.24 and 13,188.83

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Solution

The fourth proportional to 23,798.81, 32,840.24 and 13,188.83 is: 18,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.81 : 32,840.24 = 13,188.83 : x
  2. Step 2: Convert to fraction form
    23,798.81/32,840.24 = 13,188.83/x
  3. Step 3: Cross multiply
    23,798.81x = 32,840.24 × 13,188.83
  4. Step 4: Simplify right side
    23,798.81x = 433,124,112.37
  5. Step 5: Solve for x
    x = 433,124,112.37/23,798.81
  6. Step 6: Final answer
    x = 18,199.40

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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.