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Finding the Fourth Proportional to 17,842.87, 24,624.66 and 9,885.84

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Solution

The fourth proportional to 17,842.87, 24,624.66 and 9,885.84 is: 13,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.87 : 24,624.66 = 9,885.84 : x
  2. Step 2: Convert to fraction form
    17,842.87/24,624.66 = 9,885.84/x
  3. Step 3: Cross multiply
    17,842.87x = 24,624.66 × 9,885.84
  4. Step 4: Simplify right side
    17,842.87x = 243,435,448.81
  5. Step 5: Solve for x
    x = 243,435,448.81/17,842.87
  6. Step 6: Final answer
    x = 13,643.29

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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.