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Finding the Fourth Proportional to 17,842.68, 24,620.58 and 9,884.52

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Solution

The fourth proportional to 17,842.68, 24,620.58 and 9,884.52 is: 13,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.68 : 24,620.58 = 9,884.52 : x
  2. Step 2: Convert to fraction form
    17,842.68/24,620.58 = 9,884.52/x
  3. Step 3: Cross multiply
    17,842.68x = 24,620.58 × 9,884.52
  4. Step 4: Simplify right side
    17,842.68x = 243,362,615.42
  5. Step 5: Solve for x
    x = 243,362,615.42/17,842.68
  6. Step 6: Final answer
    x = 13,639.35

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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.