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Finding the Fourth Proportional to 17,740.97, 24,483.65 and 9,783.19

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Solution

The fourth proportional to 17,740.97, 24,483.65 and 9,783.19 is: 13,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.97 : 24,483.65 = 9,783.19 : x
  2. Step 2: Convert to fraction form
    17,740.97/24,483.65 = 9,783.19/x
  3. Step 3: Cross multiply
    17,740.97x = 24,483.65 × 9,783.19
  4. Step 4: Simplify right side
    17,740.97x = 239,528,199.84
  5. Step 5: Solve for x
    x = 239,528,199.84/17,740.97
  6. Step 6: Final answer
    x = 13,501.42

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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.