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Finding the Fourth Proportional to 34,804.64, 52,177.44 and 11,424.80

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Solution

The fourth proportional to 34,804.64, 52,177.44 and 11,424.80 is: 17,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,804.64 : 52,177.44 = 11,424.80 : x
  2. Step 2: Convert to fraction form
    34,804.64/52,177.44 = 11,424.80/x
  3. Step 3: Cross multiply
    34,804.64x = 52,177.44 × 11,424.80
  4. Step 4: Simplify right side
    34,804.64x = 596,116,816.51
  5. Step 5: Solve for x
    x = 596,116,816.51/34,804.64
  6. Step 6: Final answer
    x = 17,127.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.