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Finding the Fourth Proportional to 24,477.94, 33,779.46 and 14,406.31

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Solution

The fourth proportional to 24,477.94, 33,779.46 and 14,406.31 is: 19,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.94 : 33,779.46 = 14,406.31 : x
  2. Step 2: Convert to fraction form
    24,477.94/33,779.46 = 14,406.31/x
  3. Step 3: Cross multiply
    24,477.94x = 33,779.46 × 14,406.31
  4. Step 4: Simplify right side
    24,477.94x = 486,637,372.39
  5. Step 5: Solve for x
    x = 486,637,372.39/24,477.94
  6. Step 6: Final answer
    x = 19,880.65

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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.