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Finding the Fourth Proportional to 17,741.84, 24,484.86 and 9,784.08

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Solution

The fourth proportional to 17,741.84, 24,484.86 and 9,784.08 is: 13,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.84 : 24,484.86 = 9,784.08 : x
  2. Step 2: Convert to fraction form
    17,741.84/24,484.86 = 9,784.08/x
  3. Step 3: Cross multiply
    17,741.84x = 24,484.86 × 9,784.08
  4. Step 4: Simplify right side
    17,741.84x = 239,561,829.03
  5. Step 5: Solve for x
    x = 239,561,829.03/17,741.84
  6. Step 6: Final answer
    x = 13,502.65

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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.