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Finding the Fourth Proportional to 17,850, 24,632.64 and 9,892.16

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Solution

The fourth proportional to 17,850, 24,632.64 and 9,892.16 is: 13,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850 : 24,632.64 = 9,892.16 : x
  2. Step 2: Convert to fraction form
    17,850/24,632.64 = 9,892.16/x
  3. Step 3: Cross multiply
    17,850x = 24,632.64 × 9,892.16
  4. Step 4: Simplify right side
    17,850x = 243,670,016.10
  5. Step 5: Solve for x
    x = 243,670,016.10/17,850
  6. Step 6: Final answer
    x = 13,650.98

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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.