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Finding the Fourth Proportional to 17,627.80, 24,313.62 and 14,971

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Solution

The fourth proportional to 17,627.80, 24,313.62 and 14,971 is: 20,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.80 : 24,313.62 = 14,971 : x
  2. Step 2: Convert to fraction form
    17,627.80/24,313.62 = 14,971/x
  3. Step 3: Cross multiply
    17,627.80x = 24,313.62 × 14,971
  4. Step 4: Simplify right side
    17,627.80x = 363,999,205.02
  5. Step 5: Solve for x
    x = 363,999,205.02/17,627.80
  6. Step 6: Final answer
    x = 20,649.16

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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.