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Finding the Fourth Proportional to 14,829.63, 20,464.73 and 8,457.26

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Solution

The fourth proportional to 14,829.63, 20,464.73 and 8,457.26 is: 11,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.63 : 20,464.73 = 8,457.26 : x
  2. Step 2: Convert to fraction form
    14,829.63/20,464.73 = 8,457.26/x
  3. Step 3: Cross multiply
    14,829.63x = 20,464.73 × 8,457.26
  4. Step 4: Simplify right side
    14,829.63x = 173,075,418.97
  5. Step 5: Solve for x
    x = 173,075,418.97/14,829.63
  6. Step 6: Final answer
    x = 11,670.92

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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.