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Finding the Fourth Proportional to 43,403.88, 65,088 and 13,813.77

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Solution

The fourth proportional to 43,403.88, 65,088 and 13,813.77 is: 20,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,403.88 : 65,088 = 13,813.77 : x
  2. Step 2: Convert to fraction form
    43,403.88/65,088 = 13,813.77/x
  3. Step 3: Cross multiply
    43,403.88x = 65,088 × 13,813.77
  4. Step 4: Simplify right side
    43,403.88x = 899,110,661.76
  5. Step 5: Solve for x
    x = 899,110,661.76/43,403.88
  6. Step 6: Final answer
    x = 20,714.98

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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.