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Finding the Fourth Proportional to 17,662.76, 24,373.40 and 9,705.32

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Solution

The fourth proportional to 17,662.76, 24,373.40 and 9,705.32 is: 13,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.76 : 24,373.40 = 9,705.32 : x
  2. Step 2: Convert to fraction form
    17,662.76/24,373.40 = 9,705.32/x
  3. Step 3: Cross multiply
    17,662.76x = 24,373.40 × 9,705.32
  4. Step 4: Simplify right side
    17,662.76x = 236,551,646.49
  5. Step 5: Solve for x
    x = 236,551,646.49/17,662.76
  6. Step 6: Final answer
    x = 13,392.68

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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.