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Finding the Fourth Proportional to 17,735.54, 24,473.86 and 9,777.74

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Solution

The fourth proportional to 17,735.54, 24,473.86 and 9,777.74 is: 13,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.54 : 24,473.86 = 9,777.74 : x
  2. Step 2: Convert to fraction form
    17,735.54/24,473.86 = 9,777.74/x
  3. Step 3: Cross multiply
    17,735.54x = 24,473.86 × 9,777.74
  4. Step 4: Simplify right side
    17,735.54x = 239,298,893.06
  5. Step 5: Solve for x
    x = 239,298,893.06/17,735.54
  6. Step 6: Final answer
    x = 13,492.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.