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Finding the Fourth Proportional to 17,842.60, 24,624.30 and 9,887.32

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Solution

The fourth proportional to 17,842.60, 24,624.30 and 9,887.32 is: 13,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.60 : 24,624.30 = 9,887.32 : x
  2. Step 2: Convert to fraction form
    17,842.60/24,624.30 = 9,887.32/x
  3. Step 3: Cross multiply
    17,842.60x = 24,624.30 × 9,887.32
  4. Step 4: Simplify right side
    17,842.60x = 243,468,333.88
  5. Step 5: Solve for x
    x = 243,468,333.88/17,842.60
  6. Step 6: Final answer
    x = 13,645.34

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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.