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Finding the Fourth Proportional to 17,783.60, 24,537.81 and 10,710.47

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Solution

The fourth proportional to 17,783.60, 24,537.81 and 10,710.47 is: 14,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.60 : 24,537.81 = 10,710.47 : x
  2. Step 2: Convert to fraction form
    17,783.60/24,537.81 = 10,710.47/x
  3. Step 3: Cross multiply
    17,783.60x = 24,537.81 × 10,710.47
  4. Step 4: Simplify right side
    17,783.60x = 262,811,539.22
  5. Step 5: Solve for x
    x = 262,811,539.22/17,783.60
  6. Step 6: Final answer
    x = 14,778.31

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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.