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Finding the Fourth Proportional to 43,575.18, 65,365.22 and 12,408

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Solution

The fourth proportional to 43,575.18, 65,365.22 and 12,408 is: 18,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,575.18 : 65,365.22 = 12,408 : x
  2. Step 2: Convert to fraction form
    43,575.18/65,365.22 = 12,408/x
  3. Step 3: Cross multiply
    43,575.18x = 65,365.22 × 12,408
  4. Step 4: Simplify right side
    43,575.18x = 811,051,587.72
  5. Step 5: Solve for x
    x = 811,051,587.72/43,575.18
  6. Step 6: Final answer
    x = 18,612.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.