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Finding the Fourth Proportional to 17,811.32, 24,577.62 and 9,852.44

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Solution

The fourth proportional to 17,811.32, 24,577.62 and 9,852.44 is: 13,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.32 : 24,577.62 = 9,852.44 : x
  2. Step 2: Convert to fraction form
    17,811.32/24,577.62 = 9,852.44/x
  3. Step 3: Cross multiply
    17,811.32x = 24,577.62 × 9,852.44
  4. Step 4: Simplify right side
    17,811.32x = 242,149,526.39
  5. Step 5: Solve for x
    x = 242,149,526.39/17,811.32
  6. Step 6: Final answer
    x = 13,595.26

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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.