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Finding the Fourth Proportional to 17,680.14, 24,388.43 and 10,602.45

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Solution

The fourth proportional to 17,680.14, 24,388.43 and 10,602.45 is: 14,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.14 : 24,388.43 = 10,602.45 : x
  2. Step 2: Convert to fraction form
    17,680.14/24,388.43 = 10,602.45/x
  3. Step 3: Cross multiply
    17,680.14x = 24,388.43 × 10,602.45
  4. Step 4: Simplify right side
    17,680.14x = 258,577,056.64
  5. Step 5: Solve for x
    x = 258,577,056.64/17,680.14
  6. Step 6: Final answer
    x = 14,625.28

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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.