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Finding the Fourth Proportional to 17,762.32, 24,511.06 and 11,047.76

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Solution

The fourth proportional to 17,762.32, 24,511.06 and 11,047.76 is: 15,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.32 : 24,511.06 = 11,047.76 : x
  2. Step 2: Convert to fraction form
    17,762.32/24,511.06 = 11,047.76/x
  3. Step 3: Cross multiply
    17,762.32x = 24,511.06 × 11,047.76
  4. Step 4: Simplify right side
    17,762.32x = 270,792,308.23
  5. Step 5: Solve for x
    x = 270,792,308.23/17,762.32
  6. Step 6: Final answer
    x = 15,245.32

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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.