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Finding the Fourth Proportional to 39,777.16, 59,677.58 and 16,405

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Solution

The fourth proportional to 39,777.16, 59,677.58 and 16,405 is: 24,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,777.16 : 59,677.58 = 16,405 : x
  2. Step 2: Convert to fraction form
    39,777.16/59,677.58 = 16,405/x
  3. Step 3: Cross multiply
    39,777.16x = 59,677.58 × 16,405
  4. Step 4: Simplify right side
    39,777.16x = 979,010,699.90
  5. Step 5: Solve for x
    x = 979,010,699.90/39,777.16
  6. Step 6: Final answer
    x = 24,612.38

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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.