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Finding the Fourth Proportional to 23,776.21, 32,805.53 and 14,080.77

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Solution

The fourth proportional to 23,776.21, 32,805.53 and 14,080.77 is: 19,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.21 : 32,805.53 = 14,080.77 : x
  2. Step 2: Convert to fraction form
    23,776.21/32,805.53 = 14,080.77/x
  3. Step 3: Cross multiply
    23,776.21x = 32,805.53 × 14,080.77
  4. Step 4: Simplify right side
    23,776.21x = 461,927,052.39
  5. Step 5: Solve for x
    x = 461,927,052.39/23,776.21
  6. Step 6: Final answer
    x = 19,428.12

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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.