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Finding the Fourth Proportional to 28,776.96, 39,714 and 17,447.46

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Solution

The fourth proportional to 28,776.96, 39,714 and 17,447.46 is: 24,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,776.96 : 39,714 = 17,447.46 : x
  2. Step 2: Convert to fraction form
    28,776.96/39,714 = 17,447.46/x
  3. Step 3: Cross multiply
    28,776.96x = 39,714 × 17,447.46
  4. Step 4: Simplify right side
    28,776.96x = 692,908,426.44
  5. Step 5: Solve for x
    x = 692,908,426.44/28,776.96
  6. Step 6: Final answer
    x = 24,078.58

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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.