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Finding the Fourth Proportional to 28,172.78, 42,254.91 and 9,449.63

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Solution

The fourth proportional to 28,172.78, 42,254.91 and 9,449.63 is: 14,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,172.78 : 42,254.91 = 9,449.63 : x
  2. Step 2: Convert to fraction form
    28,172.78/42,254.91 = 9,449.63/x
  3. Step 3: Cross multiply
    28,172.78x = 42,254.91 × 9,449.63
  4. Step 4: Simplify right side
    28,172.78x = 399,293,053.91
  5. Step 5: Solve for x
    x = 399,293,053.91/28,172.78
  6. Step 6: Final answer
    x = 14,173.01

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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.