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Finding the Fourth Proportional to 17,483.50, 24,127.37 and 10,409.50

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Solution

The fourth proportional to 17,483.50, 24,127.37 and 10,409.50 is: 14,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,483.50 : 24,127.37 = 10,409.50 : x
  2. Step 2: Convert to fraction form
    17,483.50/24,127.37 = 10,409.50/x
  3. Step 3: Cross multiply
    17,483.50x = 24,127.37 × 10,409.50
  4. Step 4: Simplify right side
    17,483.50x = 251,153,858.02
  5. Step 5: Solve for x
    x = 251,153,858.02/17,483.50
  6. Step 6: Final answer
    x = 14,365.19

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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.