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Finding the Fourth Proportional to 23,481, 32,403.78 and 13,550.76

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Solution

The fourth proportional to 23,481, 32,403.78 and 13,550.76 is: 18,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481 : 32,403.78 = 13,550.76 : x
  2. Step 2: Convert to fraction form
    23,481/32,403.78 = 13,550.76/x
  3. Step 3: Cross multiply
    23,481x = 32,403.78 × 13,550.76
  4. Step 4: Simplify right side
    23,481x = 439,095,845.87
  5. Step 5: Solve for x
    x = 439,095,845.87/23,481
  6. Step 6: Final answer
    x = 18,700.05

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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.