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Finding the Fourth Proportional to 17,740.30, 24,481.74 and 9,783.40

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Solution

The fourth proportional to 17,740.30, 24,481.74 and 9,783.40 is: 13,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.30 : 24,481.74 = 9,783.40 : x
  2. Step 2: Convert to fraction form
    17,740.30/24,481.74 = 9,783.40/x
  3. Step 3: Cross multiply
    17,740.30x = 24,481.74 × 9,783.40
  4. Step 4: Simplify right side
    17,740.30x = 239,514,655.12
  5. Step 5: Solve for x
    x = 239,514,655.12/17,740.30
  6. Step 6: Final answer
    x = 13,501.16

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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.