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Finding the Fourth Proportional to 23,494.15, 32,421.97 and 12,883.86

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Solution

The fourth proportional to 23,494.15, 32,421.97 and 12,883.86 is: 17,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.15 : 32,421.97 = 12,883.86 : x
  2. Step 2: Convert to fraction form
    23,494.15/32,421.97 = 12,883.86/x
  3. Step 3: Cross multiply
    23,494.15x = 32,421.97 × 12,883.86
  4. Step 4: Simplify right side
    23,494.15x = 417,720,138.51
  5. Step 5: Solve for x
    x = 417,720,138.51/23,494.15
  6. Step 6: Final answer
    x = 17,779.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.