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Finding the Fourth Proportional to 17,627.12, 24,325.28 and 9,669.16

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Solution

The fourth proportional to 17,627.12, 24,325.28 and 9,669.16 is: 13,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.12 : 24,325.28 = 9,669.16 : x
  2. Step 2: Convert to fraction form
    17,627.12/24,325.28 = 9,669.16/x
  3. Step 3: Cross multiply
    17,627.12x = 24,325.28 × 9,669.16
  4. Step 4: Simplify right side
    17,627.12x = 235,205,024.36
  5. Step 5: Solve for x
    x = 235,205,024.36/17,627.12
  6. Step 6: Final answer
    x = 13,343.36

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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.